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Linear Regression

Multi-Timeframe EMA SMA HMA LR Proximity & Alerts [HYPR-run]DESCRIPTION: Nine moving averages from Weekly down to chart timeframe on one chart. Weekly 10 SMA, Daily 50/100/200 EMA/SMA, 4hr 200 SMA, plus chart-TF 10 EMA, 200 SMA, Hull MA, and Linear Regression. See where price sits relative to every meaningful institutional level without switching timeframes. The proximity filter is the key feature. Enable all nine MAs, set a threshold, and only lines near current price appear. The Daily 200 SMA at 20% away? Hidden. When price drops toward it, the line shows up automatically. Your chart stays clean and the levels that matter are always visible. FEATURES - 9 moving averages from Weekly down to chart timeframe - Proximity filter: hides irrelevant MAs far from price - Bounce/reject detection at each MA level - Webhook alerts on selected MA cross (long/short) - Status table: row 1 positioning context (above/below each MA), row 2 live events (bouncing, rejecting, XO, XU) - Polyline rendering (smooth lines, no staircase artifacts) - End-of-line labels with % distance from price - Toggle each MA independently HOW IT WORKS Higher timeframe MAs are pulled via request.security and rendered as polylines for smooth display on any chart timeframe. The proximity check runs on every bar: if the distance between price and a given MA exceeds the threshold %, the polyline is not drawn. When price approaches, the line appears. Alerts fire independently of display toggles. STATUS TABLE Two-row dynamic dashboard that updates every bar. - Row 1 (positioning): which MAs price is above or below, grouped with "&" separators. The Weekly 10 SMA is separated as the anchor ("the mother"); its direction drives the color indicator (green = above weekly fair value, red = below) - Row 2 (events): up to 3 simultaneous events, most significant MA first (w10 → d200 → d100 → d50 → 4h200). Bouncing (support holding), rejecting (resistance holding), XO (crossover), XU (crossunder). Color intensity uses a 2D significance matrix: MA weight x event type. Brightgreen for a w10 bounce; yellow for a d200 cross; darkgreen for idle above d50. Dark gray when idle - Runs independently of display toggles; events fire for all MAs even if the line is hidden by the proximity filter DEFAULT CONFIGURATION Weekly 10 SMA (white), Daily 50 EMA (yellow), and Daily 200 SMA (purple) are on by default. Proximity filter on at 5%. These three levels are the most commonly watched institutional reference points. ALERTS Price crossing above the selected MA fires a long signal; crossing below fires a short signal. Full bar filter requires the bar body to be at least 66.6% of total range, rejecting doji and wick-heavy crosses. Alert payload is built into the script as JSON; works with any webhook receiver.
Pine Script® indicator
by HYPR-run
OBV Linear Regression Multi-Slope [HYPR-run]DESCRIPTION: Three linear regression slopes fitted to On-Balance Volume. Measures whether accumulation or distribution is accelerating, decelerating, or reversing across short, medium, and long lookbacks simultaneously. Raw OBV tells you the cumulative direction of volume flow. Fitting a linear regression to it gives you the rate of change: the slope. Three slopes at different lookbacks show the structure of volume commitment. When all three agree, volume flow is structurally committed in one direction. When they disagree, the timeframes are in conflict. FEATURES - Three linear regression slope lines on OBV (short 9, medium 26, long 50) - Optional adaptive short lookback (ATR-scaled for low timeframes) - Slope alignment detection: dual (short+long) and triple (all three) - Universal angle normalization (slope/sigma x 45 degrees) - Sigma/Bar ratio: slope strength relative to OBV noise - Auto-adjusts all lookbacks by timeframe (weekly/monthly compress) - Webhook alerts on slope flip or triple alignment - Full bar filter rejects doji/wick-heavy bars - Dashboard with lookback, angle, and sigma/bar for all three lines HOW IT WORKS Linear regression calculates the best-fit line through OBV values over a lookback window. The slope of that line is the rate of volume flow. Positive slope = accumulation accelerating. Negative slope = distribution accelerating. The universal angle normalizes raw slope by OBV standard deviation so the dashboard reads consistently across any asset (BTC's OBV in millions, a low-cap's in thousands, same angle scale). UNIVERSAL ANGLE Slope divided by OBV standard deviation per bar, multiplied by 45. A value of 45 degrees means the slope equals one standard deviation per bar. Makes angle comparable across any asset and timeframe: 30 degrees on BTC means the same relative strength as 30 degrees on SOL. ALERT MODES - Slope Flip: fires when selected lookback crosses zero. Negative to positive = accumulation starting (LONG). Positive to negative = distribution starting (SHORT). - Triple Alignment: fires when all three slopes agree on direction. Fewer signals, higher conviction. Alert payload is built into the script as JSON; works with any webhook receiver. CREDITS On-Balance Volume: Joseph Granville, Granville's New Key to Stock Market Profits (1963)
Pine Script® indicator
by HYPR-run
Matrix Order Block Institutional Engine | Matrix Trading LabMatrix Order Block Institutional Engine by GÖKTUĞ ÖZIŞIK | Matrix Trading Lab Matrix Order Block Institutional Engine is a professional order block toolkit designed for traders who want a cleaner and more structured institutional workflow. This script focuses on identifying meaningful bullish and bearish order blocks after confirmed market structure breaks, instead of plotting random zones that overload the chart. The main goal is simple: show high-utility order block zones in a clean, professional, and decision-friendly format. Key Features Structure-Confirmed Order Blocks The script builds order blocks only after confirmed bullish or bearish structure breaks. This helps filter out weak zones and keeps the chart focused on more relevant areas. Swing and Internal Order Blocks Two layers of order block logic are included: Swing Order Blocks for higher-quality major zones Internal Order Blocks for shorter-term market structure shifts This gives traders both macro and micro context on the same chart. Bullish and Bearish Zone Mapping The script automatically identifies: Bullish Order Blocks Bearish Order Blocks These zones extend forward and remain visible until they are mitigated or removed by the selected settings. Touched and Mitigated States Zones are not static. The script tracks whether an order block is: Active Touched Mitigated This makes it much easier to read current zone quality and understand whether a block is still fresh. Preset-Based Workflow Different presets are included for different trading styles: Scalp Intraday Swing Clean Chart Manual This allows the trader to adapt the script quickly without manually rebuilding the settings every time. Institutional Dashboard A compact dashboard summarizes the current order block environment: Swing Bias Internal Bias Bullish Block Count Bearish Block Count Last Swing Bullish OB Last Swing Bearish OB Last Event Current Order Block Context This helps traders interpret the chart faster and reduce visual overload. Why This Script Is Different Many order block tools draw too many zones and create confusion. This version is built with a cleaner institutional mindset: less noise clearer structure more readable context better visual discipline Who Should Use It This indicator is suitable for traders who use: Smart Money Concepts Order Block strategies Price Action trading Market Structure analysis Intraday and Swing workflows Notes This script is an analysis tool and should not be treated as a standalone trading system. Order blocks work best when combined with: market structure liquidity context confirmation proper risk management Contact Interested in this system or looking for more advanced professional indicators? For more details, please contact me directly. Email: goktugozi@hotmail.com
Pine Script® indicator
by goktugozi26
Z-Score line Daily/Weekly# Z-Score Line Daily/Weekly **A forward-projected linear regression z-score that measures how far current price has deviated from where its statistical trend *expects* it to be — turning regression residuals into a normalized mean-reversion oscillator.** --- ## What It Does Z-Score Line computes a linear regression with a configurable forward offset, then measures the residual distance between current price and that projected regression line, normalized by the standard deviation of non-offset regression residuals. The result is a statistically grounded oscillator where readings beyond ±2σ represent historically rare deviations from the projected trend. A smoothed moving average overlay provides momentum context — rising MA confirms z-score direction, divergences flag potential reversals. The forward offset is the key differentiator: rather than measuring deviation from the *current* best-fit line (which always passes near recent price), it measures deviation from where the trend *was heading*, making it structurally better at identifying overshoot conditions. --- ## Theoretical Foundations - **Linear regression residual analysis** — OLS residuals measure the component of price unexplained by the linear trend; standardizing by residual σ converts this to a z-score with known statistical properties under normality assumptions - **Forward-projected regression (offset parameter)** — Projecting the regression line forward by `offset` bars creates a "where price should be" reference, rather than a retrospective best-fit; deviations from this projection identify trend exhaustion and overshoot - **Z-score normalization** — Dividing residuals by their rolling standard deviation produces a unit-free oscillator where ±1σ, ±2σ, ±3σ levels carry standard probabilistic interpretation (68/95/99.7 under Gaussian assumptions — wider in practice for fat-tailed crypto returns) - **Smoothed z-score as momentum filter** — The SMA of the z-score acts as a second-order trend confirmation, analogous to a signal line on MACD; slope direction separates impulsive moves from mean-reverting ones --- ## Signals **Bullish:** - Z-score crosses above zero → price has moved above its projected regression, trend bias shifting positive - Z-score crosses below lower threshold (−4.7) → extreme negative overshoot, potential mean-reversion long entry - Z-score MA turning green (rising) while z-score is positive → confirmed bullish momentum **Bearish:** - Z-score crosses below zero → price has fallen below its projected regression, trend bias shifting negative - Z-score crosses above upper threshold (+5.1) → extreme positive overshoot, potential mean-reversion short entry or profit-taking - Z-score MA turning red (falling) while z-score is negative → confirmed bearish momentum **Neutral / Caution:** - Z-score near zero with flat MA → price tracking projected regression, no actionable deviation - Z-score and MA diverging (z-score rising, MA falling or vice versa) → signal conflict, reduce conviction --- ## Oscillator Pane Fields | Plot | Description | Range | |------|-------------|-------| | **Z-Score** | Standardized residual from forward-projected linear regression (green = positive, red = negative) | Unbounded (typically ±6) | | **Z-Score MA** | SMA of z-score (green when rising, red when falling) | Same scale as z-score | | **Upper Line** | Static upper extreme threshold | +5.1 (default) | | **Lower Line** | Static lower extreme threshold | −4.7 (default) | | **Zero Line** | Trend-neutral reference | 0 | --- ## Key Inputs | Input | Default | Guidance | |-------|---------|----------| | **Timeframe** | D | Daily is the primary design target. Weekly smooths signals for swing/position trading. Both apply to the regression computation — chart timeframe is independent. | | **Linear Regression Length** | 21 | Lookback for OLS fit. 21 ≈ one trading month. Shorter (10–14) increases sensitivity to recent moves; longer (30–50) captures broader trend structure. Affects both the offset projection and residual σ. | | **Linear Regression Offset** | 30 | Forward projection distance in bars. 30 bars on daily ≈ 1.5 months ahead. This is the core parameter — higher offset creates a more "stale" reference line, amplifying deviation signals. Reduce to 10–15 for faster mean-reversion signals; increase to 40–60 for identifying macro-scale overshoot. | | **Z-Score MA Length** | 13 | SMA smoothing period for the momentum overlay. 13 ≈ half the regression length. Shorter (5–8) tracks z-score more closely; longer (21+) filters noise but lags direction changes. | --- ## Data Sources & request.security() Budget | Symbol | Purpose | Calls | |--------|---------|-------| | Chart symbol (`close`) | All regression, residual, and z-score computations | 0 | **Total request.security() usage: 0 of 40.** The indicator operates entirely on the current chart's close data with no external security calls, making it fully compatible as a companion pane alongside request.security()-heavy indicators. The Timeframe input uses TradingView's built-in `input.timeframe()` resolution override, not `request.security()`. --- ## Alerts | Alert | Trigger | Use Case | |-------|---------|----------| | **Z-Score Crosses Above Zero** | `ta.crossover(zscore, 0)` | Trend bias flips positive — potential long entry or short exit | | **Z-Score Crosses Below Zero** | `ta.crossunder(zscore, 0)` | Trend bias flips negative — potential short entry or long exit | | **Z-Score Crosses Above Upper Line** | `ta.crossover(zscore, 5.1)` | Extreme positive overshoot — mean-reversion short or profit-taking zone | | **Z-Score Crosses Below Lower Line** | `ta.crossunder(zscore, -4.7)` | Extreme negative overshoot — mean-reversion long or capitulation signal | All alerts fire via `alertcondition()` (static presets). Alerts trigger on **bar close only** for the selected timeframe resolution — no intra-bar repainting. --- ## Important Notes - **Anti-repainting:** All computations use `close` (confirmed bar data). The `ta.linreg()` offset parameter projects the regression line forward but does not use future data — it extrapolates the regression slope computed from the trailing `length` bars. No `request.security()` calls, no `barmerge.lookahead_on`, no future data references. - **Offset interpretation:** The offset does *not* look ahead. It computes the regression from the most recent `length` bars, then evaluates where that line would be `offset` bars in the future. The residual measures current price vs. that extrapolated point. This means the z-score is structurally biased: when trends persist, the offset projection undershoots; when trends reverse, it overshoots. This is the intended behavior for mean-reversion detection. - **Asymmetric thresholds:** The default upper (+5.1) and lower (−4.7) thresholds are asymmetric, reflecting empirical BTC behavior where downside deviations tend to be sharper but shorter-lived than upside overextensions. Calibrate these to your asset — use the v2 adaptive mode (percentile-based thresholds) for automatic adjustment. - **Recommended timeframes:** Daily (primary), Weekly (swing). The 21-bar regression on daily captures ~1 month of structure. On 4H, the same 21-bar length captures only 3.5 days — reduce offset proportionally or switch to Weekly resolution via the Timeframe input. - **Asset scope:** Designed for BTC and major crypto pairs. The z-score normalization assumes roughly stationary residual variance — works on any liquid asset with sufficient history (>50 bars minimum for regression warmup). Not calibrated for low-liquidity altcoins where gap behavior distorts regression fits.
Pine Script® indicator
by whitekidspaz
SPAZZ Daily/Weekly# SPAZZ Daily/Weekly (SFI) **A mean-reversion entry filter that combines RSI z-score zero-crossings with Bollinger Band touch-and-reclaim — triggering only when momentum normalization and price envelope reversion agree on the same bar.** --- ## What It Does SPAZZ SFI computes a z-score of RSI(14) by subtracting its 14-period SMA and dividing by its 14-period standard deviation, then gates entries on the z-score crossing zero coinciding with price crossing back inside a Bollinger Band (20-period, 1.76σ default). The dual-gate design filters out standalone BB touches that lack momentum confirmation and standalone RSI recoveries that haven't reached envelope extremes. Signals only fire when both conditions align on the same bar — a conjunction filter that materially reduces false positives relative to either component alone. --- ## Theoretical Foundations - **Bollinger Bands (Bollinger, 1983)** — Price envelope defined as SMA(20) ± kσ. The non-standard default multiplier of 1.76σ (vs. the typical 2.0σ) widens the signal zone, capturing reversion setups before price reaches full 2σ extension — a deliberate sensitivity tradeoff - **RSI z-score normalization** — Raw RSI is bounded and non-stationary across regimes. Z-scoring against its own rolling distribution converts it to a zero-centered, approximately unit-variance series where zero-crossings represent transitions from below-mean to above-mean momentum (and vice versa), independent of the prevailing RSI level - **Conjunction filtering** — Requiring two independent conditions to fire simultaneously on the same bar exploits the low joint probability of co-occurrence under noise. If each condition fires independently with probability *p*, the conjunction fires with probability ≈ *p²* under independence — geometrically reducing false signal rates --- ## Signals **Bullish (BUY):** - RSI z-score crosses above zero (momentum recovering from below-average) **AND** price crosses above the lower Bollinger Band (reclaiming the envelope from below) - Interpretation: price was extended to the downside and is now showing simultaneous mean-reversion in both price level and momentum — a high-probability long entry zone **Bearish (SELL):** - RSI z-score crosses below zero (momentum deteriorating from above-average) **AND** price crosses below the upper Bollinger Band (failing to hold the upper envelope) - Interpretation: price was extended to the upside and is now losing momentum while falling back inside the band — a high-probability short entry or exit zone **No Signal:** - Z-score crosses zero but price is mid-band → momentum shift without envelope extremity - Price touches a band but z-score doesn't cross zero → envelope touch without confirmed momentum reversal --- ## Overlay Fields | Plot | Description | |------|-------------| | **Up Triangle** | Green triangle below bar on BUY signal | | **Down Triangle** | Red triangle above bar on SELL signal | | **BUY Label** | Optional text label at low of signal bar | | **SELL Label** | Optional text label at high of signal bar | No Bollinger Band lines are plotted (overlay remains clean). The BB computation is internal to the signal logic only. --- ## Key Inputs | Input | Default | Guidance | |-------|---------|----------| | **BB Multiplier** | 1.76 | Controls band width. Lower values (1.5–1.7) increase signal frequency by catching shallower pullbacks. Higher values (2.0–2.5) require deeper extension before triggering — fewer but more extreme signals. The 1.76 default sits between standard (2.0) and aggressive (1.5). | | **Show Labels** | On | Toggle BUY/SELL text labels. Disable for cleaner charts when using alerts instead of visual scanning. | | **Timeframe** | D | Selector for Daily or Weekly. **Note:** This input is declared but not wired to `request.security()` in the current version — the indicator runs on the chart's native timeframe regardless of this setting. | --- ## Data Sources & request.security() Budget **Total request.security() usage: 0 of 40.** All computations use the chart's native timeframe and symbol. No external data calls. --- ## Alerts | Alert | Trigger | Frequency | |-------|---------|-----------| | **BUY** | RSI z-score crosses above 0 AND close crosses above lower BB | Once per bar close | | **SELL** | RSI z-score crosses below 0 AND close crosses below upper BB | Once per bar close | Both alerts use `alertcondition()` — static presets configured in TradingView's alert dialog. No dynamic `alert()` calls. --- ## Important Notes - **Anti-repainting:** All computations use `close`, `ta.crossover()`, and `ta.crossunder()` on confirmed bar data. No `request.security()` calls, no lookahead. Signals are fixed once the bar closes. - **Timeframe input is cosmetic:** The `input.timeframe()` selector is present in the UI but not connected to any MTF logic. The indicator always runs on the chart's native timeframe. To analyze Daily signals on a Weekly chart (or vice versa), change the chart timeframe directly. - **BB multiplier sensitivity:** At the default 1.76σ, bands are ~12% tighter than standard 2.0σ Bollinger Bands. This means signals fire more frequently but at less extreme price levels. If you observe excessive false signals, increase toward 2.0–2.2. - **RSI z-score warmup:** The z-score requires 2× RSI_LENGTH bars (28 bars) to stabilize — 14 for the RSI series itself and 14 for its rolling mean and standard deviation. Signals within the first ~30 bars of chart history are unreliable. - **Conjunction is strict:** Because both conditions must co-occur on the exact same bar, signal frequency is low. On daily BTC charts, expect roughly 2–6 signals per month depending on regime. This is by design — it is an entry filter, not a continuous scoring system.
Pine Script® indicator
by whitekidspaz
Z-score filter Daily/Weekly# Z-Score Filter — Daily / Weekly **Identifies statistically extreme price dislocations from a linear regression trend using a standardized residual z-score, firing high-precision mean-reversion entries at historically rare extremes.** --- ## What It Does Fits a linear regression to `close` over a configurable lookback and offset, then standardizes the residual of current price against that trend using a rolling standard deviation — producing a classical z-score of price deviation. Signals fire when the z-score crosses back through extreme upper or lower thresholds (default: ±5.1 / ±4.7), identifying price dislocations far enough into the tail distribution to represent genuine mean-reversion opportunity rather than noise. The offset parameter decouples the regression anchor from the current bar, eliminating the lookahead that plagues most regression-based overlays. --- ## Theoretical Foundations - **Ordinary Least Squares (linear regression):** Minimizes squared residuals to produce a best-fit price trend; `ta.linreg(close, length, offset)` with non-zero offset is non-repainting by design. - **Standardized residuals / z-scores:** Residual normalized by the rolling standard deviation of `close`; values beyond ±3σ are statistically rare under a normal distribution (~0.3% frequency), making the default thresholds (4.7–5.1σ) extremely selective. - **Mean-reversion in financial time series:** Grounded in error-correction dynamics — when price overshoots its equilibrium trend, restoring forces (liquidity, arbitrage, position unwinds) tend to pull it back. High σ thresholds act as a filter for only the most dislocated conditions. - **Signal polarity:** Crossover (z-score rising back through −lower) = **bullish** (price recovering from extreme negative dislocation). Crossunder (z-score falling back through +upper) = **bearish** (price rolling over from extreme positive dislocation). --- ## Signals | Signal | Condition | Interpretation | |---|---|---| | 🟢 **Deep Value (BUY)** | `zscore` crosses **above** `−lower` threshold | Price has been at extreme negative residual and is reverting toward trend — mean-reversion long entry | | 🔴 **Over Value (SELL)** | `zscore` crosses **below** `+upper` threshold | Price has been at extreme positive residual and is rolling back toward trend — mean-reversion short/exit entry | | ⬜ **No Signal** | `zscore` inside threshold band | Price within statistically normal range relative to trend; no actionable dislocation | --- ## Key Inputs | Input | Default | Type | Guidance | |---|---|---|---| | **Timeframe** | `D` | Dropdown (D / W) | `D` for swing entries; `W` for position-sizing filter or macro regime context. MTF security call pulls higher-TF data cleanly. | | **Linear Regression Length** | `21` | Integer | Controls the lookback window for trend fitting and σ estimation. Shorter (10–15) = more responsive, noisier. Longer (34–55) = slower, fewer signals but higher quality. | | **Linear Regression Offset** | `30` | Integer | Shifts the regression anchor back N bars, ensuring the fitted value at bar is based on historical data only — critical for anti-repainting. Do not set to 0. | | **Plot Linear Regression Line** | `true` | Boolean | Toggle the blue regression overlay. Disable to reduce chart clutter when stacking indicators. | | **Upper Threshold** | `5.1` | Float | Bearish trigger level (σ above trend). Increase to 5.5–6.0 on higher-volatility assets (altcoins, meme coins). | | **Lower Threshold** | `4.7` | Float | Bullish trigger level (σ below trend, stored as positive value, applied as negative). Slightly lower than upper to account for the well-documented negative skew in crypto. | **Threshold calibration guidance:** On BTC/ETH at daily resolution, 4.7–5.1σ yields 1–4 signals per year — true tail events. Reduce to 3.0–4.0 for higher-frequency assets or 4H charts with the understanding that signal quality degrades. --- ## Dashboard / Visual Elements | Visual Element | Description | |---|---| | **Blue line (Linear Regression)** | Best-fit OLS trend over `length` bars, anchored `offset` bars back. Toggleable. | | **Green cross + "BUY" label (below bar)** | Deep Value signal — z-score crossover through `−lower` | | **Red cross + "SELL" label (above bar)** | Over Value signal — z-score crossunder through `+upper` | *No dashboard table. This is an overlay-only signal indicator — no separate pane required.* --- ## Data Sources | Source | Ticker / Field | Usage | |---|---|---| | Chart symbol | `close`, `volume` | Primary price series and volume (built-in, no `request.security()` calls) | **`request.security()` budget:** **0 calls.** This indicator uses only the native chart series. The timeframe input switches chart context via the timeframe parameter on `ta.linreg` — note that standard Pine Script indicators do not auto-request the selected TF; for true MTF operation, a companion wrapper using `request.security()` is needed. --- ## Alerts | Alert Name | Trigger | Suggested Use | |---|---|---| | **Deep Value** | `zscore` crosses above `−lower` | Long entry watchlist — confirm with volume or funding rate context before execution | | **Over Value** | `zscore` crosses below `+upper` | Short entry / long exit watchlist — higher false-positive rate in strong trends; use regime filter | Both alerts use `alertcondition()` (static presets). Compatible with TradingView webhook delivery to execution systems. --- ## Important Notes **Anti-repainting:** The non-zero `offset` (default: 30) is the critical anti-repainting mechanism. The regression is evaluated at `bar_index - offset`, meaning it is computed entirely from historical bars at the time it fires. **Do not set offset to 0** — this creates lookahead bias where the regression re-fits to include the current bar, causing historical signals to shift position on replay. The signal shapes (`plotshape`) are plotted on confirmed close data. **Recommended timeframes:** Daily and Weekly. The default thresholds (4.7 / 5.1σ) are calibrated for daily BTC/ETH behavior. On intraday charts, reduce thresholds significantly or the indicator will rarely trigger. Can be used on any timeframe. **Asset scope:** Optimized for crypto majors (BTC, ETH, SOL, XRP). Apply cautiously to high-beta altcoins — the σ distribution has fatter tails, so fixed thresholds will be hit more frequently and signal quality degrades. Consider switching to adaptive percentile-based thresholds (97th/95th percentile of rolling |z|) for non-major assets. **Signal frequency expectation:** At default settings on BTCUSD daily, expect 1–5 signals per year. This is intentional — these are designed as high-conviction tail-event entries, not a frequent signal system. **Trend vs. mean-reversion regime:** This indicator performs best in ranging / oscillating markets. In strong directional trends, "Deep Value" signals may be sequentially triggered as price continues lower — always context-check against a trend/regime classifier before trading mechanically.
Pine Script® indicator
by whitekidspaz
Polynomial Regression Moving Average (PRMA)1. WHAT IS PRMA? PRMA is a non-repainting, smoothed moving average that uses the endpoint of polynomial regression as its core value. It generalizes the classic Linear Regression Moving Average (LSMA) to any polynomial degree — including fractional values — and adds a comprehensive multi-method, multi-iteration smoothing layer on top. In Simple Terms PRMA fits a mathematical curve (polynomial) to recent price history, takes the last point of that curve as the current value, then optionally smooths the result using your choice of 9 different smoothing algorithms — applied up to 10 times in sequence. 2. CORE ARCHITECTURE text ┌─────────────────────────────────────────────────────┐ │ PRMA PIPELINE │ │ │ │ Price Data ──► Polynomial Regression ──► Endpoint │ │ (OLS with degree d) Extraction │ │ │ │ │ ▼ │ │ Raw PRMA Value │ │ │ │ │ ▼ │ │ Smoothing Layer │ │ (Method × Iterations)│ │ │ │ │ ▼ │ │ Final PRMA Output │ │ │ │ │ ▼ │ │ Signal Generation │ │ (Direction Change) │ └─────────────────────────────────────────────────────┘ 3. MATHEMATICAL FOUNDATION 3.1 Polynomial Regression (OLS) For the last n bars, a polynomial of degree d is fitted: text ŷ(x) = β₀ + β₁x + β₂x² + ... + βₐxᵈ The coefficients are solved via the Normal Equation: text β = (XᵀX)⁻¹ · Xᵀ · y Where X is the Vandermonde matrix: text X = | 1 0 0² ... 0ᵈ | | 1 1 1² ... 1ᵈ | | 1 2 2² ... 2ᵈ | | . . . ... . | | 1 n-1 (n-1)² ... (n-1)ᵈ | 3.2 The Weight Kernel (Efficiency Innovation) Instead of solving full regression every bar, a fixed weight kernel is precomputed once: text Kernel K = x_last · (XᵀX)⁻¹ · Xᵀ Where x_last = Then each bar simply computes: text PRMA_raw = Σ K × price for i = 0 to n-1 This is a constant-time weighted sum — extremely efficient. 3.3 Fractional Degree Interpolation For degree = 3.7: text kernel_3 = compute_kernel(degree=3) kernel_4 = compute_kernel(degree=4) final_kernel = 0.3 × kernel_3 + 0.7 × kernel_4 This allows infinitely fine-grained control over responsiveness. 3.4 Smoothing Layer The raw PRMA value passes through a selectable smoothing function, applied iteratively: text smoothed₁ = smooth(raw_PRMA) smoothed₂ = smooth(smoothed₁) smoothed₃ = smooth(smoothed₂) ... smoothedₙ = smooth(smoothedₙ₋₁) Each iteration further reduces noise while adding controlled lag. 4. ALL PARAMETERS EXPLAINED 4.1 Core Parameters Parameter Default Range Description Source close Any price The price data fed into the regression Period 100 ≥ 2 Number of bars in the regression lookback window Degree 4.0 ≥ 1.0 (step 0.1) Polynomial degree — controls curve complexity 4.2 Color Parameters Parameter Default Description Up Green rgb(36,223,23) PRMA line color when rising Down Fuchsia PRMA line color when falling 4.3 Smoothing Parameters Parameter Default Range Description Smoothing Method EMA 10 options Type of smoothing filter applied Smoothing Length 5 ≥ 1 Lookback for the smoothing algorithm Smoothing Iterations 1 1–10 Number of sequential smoothing passes 4.4 Signal Parameters Parameter Default Description Show Signals true Toggle buy/sell labels on chart 5. SMOOTHING METHODS IN DETAIL 5.1 Complete Smoothing Method Comparison Method Formula Concept Lag Smoothness Best For None No smoothing Zero Raw Fastest response, noisy SMA Equal-weight average High Moderate Simple baseline smoothing EMA Exponential decay Medium Good General purpose WMA Linear weight decay Medium Good Recent-data emphasis RMA Wilder's smoothing High Very High Ultra-smooth trending HMA Hull method Low Good Low-lag smoothing DEMA Double EMA Low Good Lag reduction TEMA Triple EMA Very Low Moderate Minimum lag VWMA Volume-weighted mean Medium Good Volume-aware smoothing Gaussian Bell-curve kernel Medium Excellent Natural, artifact-free 5.2 Smoothing Method Formulas text SMA(n) = (P₁ + P₂ + ... + Pₙ) / n EMA(n) = α × P + (1-α) × EMA_prev where α = 2/(n+1) WMA(n) = (n×P₁ + (n-1)×P₂ + ... + 1×Pₙ) / (n×(n+1)/2) RMA(n) = (1/n) × P + (1 - 1/n) × RMA_prev HMA(n) = WMA(√n, 2×WMA(n/2) - WMA(n)) DEMA(n) = 2×EMA(n) - EMA(EMA(n)) TEMA(n) = 3×(EMA - EMA²) + EMA³ VWMA(n) = Σ(P×V) / Σ(V) Gaussian(n) = Σ(P × e^(-0.5×(i/σ)²)) / Σ(e^(-0.5×(i/σ)²)) where σ = n/3 5.3 Multi-Iteration Effects text Iterations: 1 2 3 4+ │ │ │ │ Noise: Low Very Low Minimal Near Zero Lag: Low Moderate Higher Highest Shape: Sharp Rounded Very Round Gaussian-like Iterations Equivalent Behavior 1 Standard single-pass filter 2 Similar to Butterworth 2nd-order 3 Approaching Gaussian response 4+ Ultra-smooth, trend-only extraction 6. SIGNAL LOGIC 6.1 Direction Detection text PRMA Rising → prma > prma → Bullish PRMA Falling → prma < prma → Bearish 6.2 Buy Signal (Long — "L") text Conditions (ALL must be true): ✅ PRMA turns UP (was falling on previous bar, now rising) ✅ Close > PRMA (price confirms above the moving average) ✅ Show Signals ON Displayed as: Green "L" label below the bar 6.3 Sell Signal (Short — "S") text Conditions (ALL must be true): ✅ PRMA turns DOWN (was rising on previous bar, now falling) ✅ Close < PRMA (price confirms below the moving average) ✅ Show Signals ON Displayed as: Fuchsia "S" label above the bar 6.4 Signal Flow Diagram text PRMA Direction │ ┌─────────┴──────────┐ ▼ ▼ Rising Falling │ │ │ Was Falling? │ Was Rising? │ │ │ │ ▼ ▼ ▼ ▼ Yes No Yes No │ └── No Signal │ └── No Signal │ │ ▼ ▼ Close > PRMA? Close < PRMA? │ │ Yes ──► BUY "L" Yes ──► SELL "S" No ──► No Signal No ──► No Signal 7. NON-REPAINTING GUARANTEE Why PRMA Never Repaints Factor Explanation Fixed kernel Weight matrix computed once on first bar, never recalculated Fixed lookback Each bar uses exactly length bars ending at length bars ago No future data Uses source through source — all confirmed Deterministic smoothing All smoothing methods are causal (backward-looking only) One value per bar Once a bar closes, its PRMA value is permanently locked Important Note The indicator uses source check, meaning the PRMA value is plotted with a length-bar delay from the source data. This ensures that ALL input data is from closed, confirmed bars — the ultimate non-repainting guarantee. Repainting vs Non-Repainting Comparison text REPAINTING Polynomial Regression Channel: Bar 100: Draws curve across bars 1-100 Bar 101: REDRAWS curve across bars 2-101 ← ALL previous values change! NON-REPAINTING PRMA: Bar 100: Computes endpoint of regression on bars 1-100 → single fixed value Bar 101: Computes endpoint of regression on bars 2-101 → new single fixed value Bar 100's value NEVER changes ✅ 8. USE CASES 8.1 Trend Following Goal: Identify and ride medium-to-long-term trends Setup: text Period: 150–200 Degree: 1.5–2.5 Smoothing: EMA, Length 10, Iterations 2 Strategy: Go Long when PRMA turns green (rising) + price above PRMA Go Short when PRMA turns fuchsia (falling) + price below PRMA Exit on opposite signal or when price crosses PRMA against position Example: text SELL signal ↓ Price: ──╱╲──╱╲──╱╲──╲╱──╲──╲╱──╲── PRMA: ────────╱──────╲────────╲──── Color: ████████GREEN███FUCHSIA██████ ↑ BUY signal Markets: Stocks, ETFs, Forex (trending pairs like EUR/USD, USD/JPY) Risk Management: Stop loss: Below PRMA line (for longs) or recent swing low Take profit: When opposite signal appears or fixed R:R ratio Position sizing: Based on ATR distance from PRMA 8.2 Swing Trading Goal: Capture medium-term price swings with clean entry/exit signals Setup: text Period: 50–100 Degree: 3.0–4.0 Smoothing: HMA, Length 5, Iterations 1 Strategy: Enter Long on "L" signal when price is above a higher-timeframe support Enter Short on "S" signal when price is below a higher-timeframe resistance Use PRMA direction color as bias filter Example — Multi-Timeframe Approach: text Daily PRMA (Period 100, Degree 2): Rising → BULLISH BIAS 4H PRMA (Period 50, Degree 4): "L" signal appears Action: Enter Long (aligned with daily bias) Markets: Stocks, Crypto (BTC, ETH), Commodities 8.3 Scalping / Day Trading Goal: Quick entries and exits on short timeframes Setup: text Period: 20–50 Degree: 1.0–2.0 Smoothing: TEMA, Length 3, Iterations 1 Strategy: Use on 1m–15m charts Enter on signal in direction of PRMA slope Exit quickly — target 1:1 or 1:1.5 R:R Avoid signals during consolidation (flat PRMA) Example — 5-Minute Chart: text 09:30 ─────────╱── PRMA turns green 09:35 ── "L" signal, price > PRMA → BUY 09:50 ── Target hit, close position 10:15 ──╲──── PRMA turns fuchsia → flat/reverse Markets: Futures (ES, NQ), Forex (major pairs), Crypto 8.4 Mean Reversion Goal: Trade pullbacks to the PRMA line Setup: text Period: 100–150 Degree: 2.0–3.0 Smoothing: Gaussian, Length 8, Iterations 2 Strategy: Identify trend direction via PRMA color Wait for price to pull back TO the PRMA line (touch or cross slightly) Enter in the direction of the PRMA trend when price bounces off PRMA Stop loss: Beyond the PRMA line Example: text Uptrend (PRMA green): Price: ──╱──╱──╲──╱──╱──╲──╱── PRMA: ────╱────╱────╱────╱──── ↑ ↑ Pullback Pullback to PRMA to PRMA = BUY = BUY Markets: Stocks with strong trends, Index ETFs (SPY, QQQ) 8.5 Volatility Regime Detection Goal: Determine if market is trending or ranging Setup: text Period: 100 Degree: 4.0 (high responsiveness) Smoothing: SMA, Length 15, Iterations 3 (ultra-smooth) Strategy: Flat PRMA (minimal direction changes) → Ranging market → Use mean reversion strategies Clearly sloped PRMA (consistent color) → Trending market → Use trend following strategies Frequent color changes → Choppy market → Reduce position size or stay out Example: text Trending Phase: Choppy Phase: Ranging Phase: PRMA: ────╱──╱── PRMA: ╱╲╱╲╱╲╱╲ PRMA: ────────── Color: GREEN GREEN Color: G F G F G F Color: GREEN (flat) Action: TREND FOLLOW Action: STAY OUT Action: MEAN REVERT Markets: All — this is a meta-strategy for selecting other strategies 8.6 Multi-PRMA System Goal: Use multiple PRMA instances for confluence-based trading Setup (3 PRMA instances on same chart): Instance Period Degree Smoothing Role Fast PRMA 30 3.0 TEMA, 3, 1 Entry trigger Medium PRMA 80 2.5 EMA, 5, 1 Trend filter Slow PRMA 200 1.5 SMA, 10, 2 Major trend direction Strategy: text STRONG BUY: ✅ Slow PRMA rising (major uptrend) ✅ Medium PRMA rising (confirmed trend) ✅ Fast PRMA gives "L" signal (entry timing) ✅ Price > all 3 PRMAs STRONG SELL: ✅ Slow PRMA falling (major downtrend) ✅ Medium PRMA falling (confirmed trend) ✅ Fast PRMA gives "S" signal (entry timing) ✅ Price < all 3 PRMAs AVOID: ❌ PRMAs disagree on direction ❌ Price between fast and slow PRMA Markets: All — particularly effective on Daily charts for position trading 8.7 Crossover System with Other Indicators Goal: Combine PRMA with traditional indicators for confirmation PRMA + RSI: text Setup: PRMA (100, 3.0, EMA 5) + RSI(14) Long Entry: ✅ PRMA "L" signal ✅ RSI > 50 (bullish momentum) ✅ RSI not overbought (< 70) Short Entry: ✅ PRMA "S" signal ✅ RSI < 50 (bearish momentum) ✅ RSI not oversold (> 30) PRMA + MACD: text Setup: PRMA (80, 2.5, HMA 5) + MACD(12,26,9) Long: PRMA "L" + MACD histogram positive + MACD above signal line Short: PRMA "S" + MACD histogram negative + MACD below signal line PRMA + Volume: text Setup: PRMA (100, 3.0, VWMA 5) — already volume-aware via VWMA smoothing Long: "L" signal + Volume > 1.5× average volume = HIGH CONVICTION Long: "L" signal + Volume < average = LOW CONVICTION (smaller position) 8.8 Crypto-Specific Use Case Goal: Navigate volatile crypto markets with adaptive smoothing Setup: text Chart: 4H BTC/USDT Period: 60 Degree: 3.5 Smoothing: Gaussian, Length 8, Iterations 2 Strategy: Crypto moves fast → higher degree (3.5) catches reversals quickly Crypto is noisy → Gaussian smoothing + 2 iterations removes whipsaws Only trade signals aligned with Daily PRMA direction Use wider stops (crypto volatility is 3-5× traditional markets) Example — BTC Bull Run: text $40,000 ──────╱── PRMA green, "L" signal → ENTER LONG $45,000 ──╱───── PRMA still green → HOLD $48,000 ──╲───── PRMA turns fuchsia, "S" signal → EXIT $44,000 ──╲───── PRMA still fuchsia → SHORT or FLAT $42,000 ──╱───── PRMA green, "L" → ENTER LONG again 8.9 Portfolio / Asset Allocation Goal: Use PRMA as a filter for risk-on/risk-off decisions Setup: text Asset: SPY (S&P 500 ETF) Period: 200 Degree: 1.5 Smoothing: RMA, Length 20, Iterations 3 Strategy: text Weekly PRMA Rising (Green): → 100% Equities allocation → Overweight growth stocks → Risk-on positioning Weekly PRMA Falling (Fuchsia): → Reduce to 50% Equities → Increase bonds / cash → Risk-off positioning Weekly PRMA Flat / Choppy: → 70% Equities → Diversified allocation → Neutral positioning 8.10 Adaptive Degree Selection Guide Goal: Choose the right degree for current market conditions text Market Condition → Recommended Degree ───────────────────────────────────────────── Strong linear trend → 1.0 - 1.5 Gradual curve/acceleration→ 2.0 - 2.5 Trend with pullbacks → 3.0 - 3.5 Complex / oscillating → 4.0 - 5.0 Very choppy → 1.0 (with heavy smoothing) 9. PARAMETER OPTIMIZATION TABLE Trading Style Timeframe Period Degree Smooth Method Smooth Length Iterations Scalping 1m–5m 20–30 1.0–2.0 TEMA 3 1 Day Trading 5m–15m 30–60 2.0–3.0 HMA 5 1 Swing Trading 1H–4H 50–100 3.0–4.0 EMA 5–8 1–2 Position Trading Daily 100–200 2.0–3.0 Gaussian 8–12 2 Investing Weekly 50–100 1.0–2.0 RMA 10–20 2–3 Crypto Trading 4H 50–80 3.0–4.0 Gaussian 8 2 Forex 1H 60–120 2.0–3.0 DEMA 5 1 Futures 5m–30m 30–60 2.0–3.0 HMA 5 1 Low Noise Any Any 1.5–2.5 SMA 15–20 3–4 Fast Response Any 20–50 4.0–5.0 None – – 10. DEGREE COMPARISON VISUAL text Degree 1.0 (Linear): Price: ╱╲╱──╱╲──╱╲╱╲──╱╲ PRMA: ────────╱────────── Very smooth, slow to turn Signals: ▲ Rare signals Degree 2.0 (Quadratic): Price: ╱╲╱──╱╲──╱╲╱╲──╱╲ PRMA: ──────╱──────╲──── Moderate curvature Signals: ▲ ▼ Balanced signals Degree 3.0 (Cubic): Price: ╱╲╱──╱╲──╱╲╱╲──╱╲ PRMA: ────╱──╱──╲──╲╱─── Catches inflections Signals: ▲ ▲ ▼ ▲ More signals Degree 4.0 (Quartic): Price: ╱╲╱──╱╲──╱╲╱╲──╱╲ PRMA: ──╱╲─╱╲──╲╱╲─╱╲── Very responsive Signals: ▲▼ ▲▼ ▼▲▼ ▲▼ Many signals (may whipsaw) Degree 4.0 + Smoothing (EMA 5, Iter 2): Price: ╱╲╱──╱╲──╱╲╱╲──╱╲ PRMA: ───╱───╱───╲───╲── Responsive but clean Signals: ▲ ▲ ▼ ▼ Filtered, reliable signals ✅ 11. SMOOTHING ITERATIONS VISUAL text Raw PRMA (No Smoothing): ╱╲╱╲╱──╱╲──╲╱╲╱╲──╱╲ Noisy, many direction changes 1 Iteration (EMA 5): ─╱╲╱───╱╲───╲╱╲───╱─ Some noise removed 2 Iterations (EMA 5): ──╱─────╱─────╲────╱─ Much cleaner 3 Iterations (EMA 5): ───╱─────╱──────╲───╱ Very smooth, clear trend 5 Iterations (EMA 5): ────╱──────╱───────╲─ Ultra-smooth, trend only 12. STRENGTHS & LIMITATIONS ✅ Strengths Feature Benefit Non-repainting Reliable for backtesting and live trading — what you see is what you get Fractional degree Unprecedented fine-tuning between integer polynomial degrees 10 smoothing methods Adapt to any market condition or trading style Multi-iteration smoothing Cascaded filtering for noise-free output Precomputed kernel Computationally efficient — fixed weights, simple weighted sum Generalizes LSMA Degree 1 = LSMA; higher degrees capture curves Confirmed signals Price must be on the correct side of PRMA for signal validation Visual clarity Color-coded direction makes trend identification instant ⚠️ Limitations Limitation Mitigation Lag (inherent in all MAs) Use lower period, higher degree, or TEMA/HMA smoothing Overfitting (high degree + short period) Keep degree ≤ period/20 as rule of thumb Whipsaws in ranging markets Increase smoothing iterations or add trend filter No prediction — shows current state, not forecast Combine with leading indicators (RSI, MACD) Runge's phenomenon at extreme degrees Stay below degree 8–10 for practical use Fixed lag offset of length bars This ensures non-repainting — a deliberate trade-off Over-smoothing possible with high iterations Start with 1–2 iterations, increase only if needed 13. QUICK-START RECOMMENDATIONS Beginner Setup (Start Here) text Period: 100 | Degree: 2.0 | Smooth: EMA | Length: 5 | Iterations: 1 → Clean, balanced, works on most markets and timeframes Intermediate Setup text Period: 80 | Degree: 3.0 | Smooth: HMA | Length: 5 | Iterations: 1 → More responsive to curves, low-lag smoothing Advanced Setup text Period: 60 | Degree: 3.5 | Smooth: Gaussian | Length: 8 | Iterations: 2 → Captures complex patterns with natural noise reduction 14. SUMMARY PRMA bridges the gap between simple moving averages and complex curve-fitting analysis. It transforms polynomial regression from a repainting analytical overlay into a practical, non-repainting trading tool with: Fractional polynomial degrees for precision tuning 9 smoothing methods + multi-iteration for adaptive noise reduction Clean directional signals validated by price confirmation Zero repainting guaranteed by fixed kernel architecture Whether you're scalping crypto on a 1-minute chart or managing a portfolio on weekly timeframes, PRMA's configurable parameters can be optimized for your specific trading style and market conditions.
Pine Script® indicator
by ZakAlgoTrade
Market Gravity: Relative Value Engine--- **Relative Value Model (Enhanced)** This indicator calculates a statistically-derived fair value for your asset by modeling its historical relationship with a reference symbol (default: USDT Dominance). It supports three model types — Linear Range, Linear Regression, and Logarithmic Range — and outputs a prediction line, residual bands, Z-Score signals, and a full metrics dashboard. --- **What Does This Indicator Do?** This indicator builds a statistical price model output by comparing your current chart's price to a reference symbol. It calculates what your asset's price *should* be based on the historical relationship between the two symbols, then measures how far the actual price deviates from that prediction. In short: it answers the question — *"Is this asset overvalued or undervalued relative to a correlated market driver?"* --- **How the Three Models Work** **Linear Range** Maps the reference symbol's high/low range to the current chart's high/low range using a simple slope/intercept formula. Best for assets that move in proportion to the reference linearly. **Linear Regression (Correlation)** *(Default)* Uses Pearson correlation, standard deviation, and rolling means to calculate a beta (slope) and alpha (intercept) — essentially a rolling OLS regression. This is the most statistically rigorous method and handles non-proportional relationships better. **Logarithmic Range** Performs the same range mapping as Linear Range but in log space, then exponentiates back. Ideal for assets with exponential price behavior (e.g., crypto over long timeframes). --- **Dashboard Panel — What Each Row Means** **Regime** — Whether price is above (Premium) or below (Discount) the model. Green = overpriced vs model; Red = underpriced. **Diff %** — Percentage deviation of actual price from predicted price. +5% means price is 5% above the model estimate. **Prediction** — The model's estimated fair price for the current bar. Your fair value anchor. **Z-Score** — How many standard deviations price is from the prediction. Above +2 or below -2 is considered statistically extreme. **Z-Score State** — Normal or Extreme based on your threshold setting. Extreme signals a potential mean-reversion setup. **R²** — R-squared, goodness of fit from 0 to 1. ≥0.6 = Strong, 0.35–0.6 = Moderate, below 0.35 = Weak. Only trust the model when quality is at least Moderate. **Model Quality** — Text label derived from R². Use signals only when this reads Moderate or Strong. **MAE** — Mean Absolute Error in price units. Lower = model tracks price more closely. **MAPE %** — Mean Absolute Percentage Error. Lower percentage = more accurate model overall. **Smoothing** — Shows the active moving average type and length applied to the prediction line. --- **Visual Elements on the Chart** - Yellow line — The predicted fair-value price line - Aqua bands — Upper and lower residual bands (predicted ± multiplier × standard deviation). Price outside these bands is statistically stretched. - Green fill — Premium zone, price is above the model - Red fill — Discount zone, price is below the model - LONG label — Price crossed above the prediction line, bullish regime shift - SHORT label — Price crossed below the prediction line, bearish regime shift - Z+ triangle — Z-Score crossed above the extreme threshold, potential reversal warning - Z- triangle — Z-Score crossed below the negative threshold, potential reversal warning --- **Settings Guide** *Data and Model* - Reference Symbol: Default is USDT Dominance. Try DXY, SPX, BTC, or any asset correlated to your chart. - Reference Timeframe: Leave blank to match your chart, or set a higher timeframe for macro-level signals. - Model Type: Start with Linear Regression. Switch to Logarithmic Range for crypto on long-term charts. - Lookback Period: Use 10–20 on lower timeframes (1H, 4H), and 50–100 on daily or weekly charts. *Smoothing* - Smoothing Type: EMA reacts faster, RMA is smoother, None gives the raw model output. - Smoothing Length: Increase to reduce noise, decrease for more responsiveness. *Signals and Risk* - Residual Band Multiplier: Default 1.5. Try 1.0–2.5. Higher = wider bands, fewer signals. - Z-Score Threshold: Default 2.0. Use 1.5 for more frequent signals, 2.5 for rarer and stronger ones. *Visualization* - All colors, band visibility, and panel on/off are fully customizable. Auto theme detects your chart background automatically. --- **Built-in Alerts** Three alert conditions are included: 1. Z-Score Premium Threshold Crossed — price enters extreme overvalued territory above the model. 2. Z-Score Discount Threshold Crossed — price enters extreme undervalued territory below the model. 3. Price Crossed Model — price crosses the prediction line in either direction, possible regime change. To activate, go to Alerts → Create Alert → Condition → select this indicator. --- *This indicator is for educational and analytical purposes only. Not financial advice.*
Pine Script® indicator
by hasanaksoy199264
3
LSMA SD | GForgeLSMA SD | GForge LSMA SD is a trend-following oscillator built for swing trading on higher timeframes. It generates rules-based long and exit signals by measuring where price sits within a statistically-defined volatility envelope anchored to a regression-based trend line. Core Calculation The basis line is a Least Squares Moving Average. Unlike a standard moving average which weights past prices, LSMA computes the mathematically optimal straight-line fit across a defined lookback window. This means the basis reflects the actual gradient of a trend — its slope tells you the rate and direction of price movement, not a smoothed echo of where price has been. A short EMA pass is applied to the raw LSMA output as a robustness measure, absorbing single-bar snap artifacts that occur when outlier candles enter or exit the regression window. This is not a smoothing aesthetic — it directly addresses a known fragility in raw LinReg endpoints. The default source is hlc3 — the average of high, low, and close — rather than close alone. This distributes the regression input across the full bar range, reducing sensitivity to end-of-session price mechanics such as stop runs and last-minute order flow that can distort the trend line without reflecting genuine directional movement. A Standard Deviation envelope is then constructed around the LSMA basis at a fixed multiplier. The band width is driven entirely by actual price volatility — it widens during high-volatility periods and tightens during quiet ones. There is no secondary adaptive scaling layer. This is intentional: additional dynamic scaling introduces a second noisy signal on top of the basis movement, which in practice degrades signal quality. The Oscillator The oscillator expresses where price currently sits within the SD bands on a 0–100 scale. A reading of 0 means price is at the lower band. A reading of 100 means price is at the upper band. A reading of 50 means price is sitting directly on the LSMA trend line itself — the neutral zone between the two signal thresholds represents price consolidating around the regression basis. Long signals fire when the oscillator crosses above the long threshold (default 74), meaning price has broken decisively into the upper band zone — a momentum confirmation in the direction of the trend, not a mean-reversion trigger. Exit and short signals fire when the oscillator crosses below the short threshold (default 33). This is a trend-continuation system, not a reversal indicator. Parameters The indicator is intentionally low-parameter. LSMA Length sets the regression window. StdDev Length sets the band width lookback and can differ from the LSMA length. StdDev Multiplier sets the fixed band scale. Endpoint Smoothing controls how aggressively window-edge artifacts are absorbed — setting it to 1 disables it entirely. Fewer parameters means less surface area for curve-fitting to historical data. Default settings are optimised for BTC on the 1D timeframe. Optimize thresholds and lengths for different assets and timeframes before use. Risk Warning This indicator is provided for informational and educational purposes only. Past performance, including any results visible on historical bars, does not guarantee or imply future returns. All trading involves risk. You should not make trading decisions based solely on any single indicator. Always apply independent analysis and appropriate risk management. Developed by GForge
Pine Script® indicator
by GForge
HMA + Kalman + LinReg Channel [Pointalgo]HMA + Kalman + Linear Regression Channel HMA + Kalman + LinReg Channel is a volatility-adaptive price channel that blends three smoothing techniques into a single dynamic midline and adjusts its band width based on market conditions (trending vs. sideways). This script is designed for traders who want: A smoother central bias line Volatility-based dynamic bands Context-aware channel width Simple breakout visual signals Core Components This indicator combines three different smoothing methods: Hull Moving Average (HMA) – Reduces lag while maintaining smoothness Kalman Filter – Adaptive filtering to reduce noise Linear Regression (LinReg) – Captures short-term trend direction The three values are averaged to form a composite midline, providing balanced responsiveness and stability. Adaptive Channel Logic The channel width is based on ATR (Average True Range). When the midline moves significantly over a lookback period (relative to ATR), the market is considered Trending When movement remains within a defined ATR zone, the market is considered Sideways Channel behavior: Trending → Multiplier is reduced (tighter bands) Sideways → Full multiplier (wider bands) This creates a dynamic structure that adapts to market conditions automatically. Visual Features: Midline changes color depending on market state Upper and lower bands plotted around the midline Optional shaded channel for better visibility Breakout markers when price crosses outside the channel Breakout Signals: Bullish signal: Close crosses above upper band Bearish signal: Close crosses below lower band These signals are informational only and do not represent financial advice. Inputs: Length Source Standard Multiplier Trend Lookback Trend Threshold (ATR multiple) Kalman R and Q parameters All parameters are user-adjustable. Disclaimer This script is provided for educational and research purposes only. It does not provide financial advice. Users are responsible for their own trading decisions.
Pine Script® indicator
by pointalgo
Rolling Trendline [LuxAlgo]The Rolling Trendline indicator provides a dynamic, self-adjusting trendline that tracks price action using linear regression slope projections and automatically resets when price deviates beyond a specific threshold. 🔶 USAGE The indicator is designed to provide a continuous trend bias without the "lag" often associated with static linear regression lines. It projects a line forward based on a calculated slope and only shifts its trajectory when the market demonstrates a significant change in momentum. The addition of ATR-based volatility zones allows traders to visualize a range of expected price action around the projected trend, providing a buffer that accounts for market volatility at the time of each trend reset. 🔹 Interpreting the Line and Zones Bullish Phase (Green): Indicates an upward-sloping trajectory. The trendline and its surrounding ATR zones will be colored green, suggesting a bullish bias. Bearish Phase (Red): Indicates a downward-sloping trajectory. The trendline and its surrounding ATR zones will be colored red, suggesting a bearish bias. ATR Zones: These shaded areas represent a volatility-adjusted range. As long as price remains within the deviation threshold, the zones follow the trendline's trajectory. Reset Points: Visualized by a small circle and a break in the line, these occur when price moves too far from the projection. At this moment, the indicator re-anchors to the current price and recalculates both the slope and the ATR zone width. 🔶 DETAILS The indicator follows a specific logic flow to maintain its "Rolling" characteristic: 1. Slope Calculation: It calculates the Linear Regression slope over a user-defined lookback period. This slope represents the average rate of change in price. 2. Projection: On every new bar, the indicator projects the next value of the trendline by adding the active slope to the previous trendline value. 3. Deviation Check: The indicator calculates a Standard Deviation threshold. If the distance between the current price and the projected trendline value exceeds this threshold, a reset is triggered. 4. Re-Anchoring: Upon a reset, the trendline "rolls" to the current price and adopts the most recent linear regression slope. Simultaneously, it captures the current ATR to set the width of the new trend zones. 🔶 SETTINGS 🔹 Trend Settings Slope Lookback: The period used to calculate the linear regression slope. Higher values result in a slope that considers more historical data. Deviation Multiplier: Determines how far price can deviate from the trendline before a reset occurs. Slope Divisor: This setting allows you to tame the trajectory of the line. Higher values divide the captured slope, resulting in flatter trendlines. Source: The price data used for all calculations (default is Close). 🔹 ATR Zones ATR Length: The lookback period used for the Average True Range calculation, which determines the width of the volatility bands. ATR Multiplier: Controls the width of the shaded zones around the trendline. 🔹 Visuals Bullish/Bearish Trend Colors: Customizes the colors for the trendline and zones based on the slope direction. Zone Color: Sets the base color for the ATR area fills. Line Width: Adjusts the thickness of the primary rolling trendline.
Pine Script® indicator
by LuxAlgo
2
Volume Weighted Intra Bar LR KurtosisThis indicator analyzes market character by decomposing total Excess Kurtosis ("Fat Tails") of a SINGLE BAR into four distinct, interpretable components based on a Linear Regression model. Key Features: 1. **Intra-Bar LR Kurtosis Decomposition:** For each bar on the chart, the indicator analyzes the underlying price action on a smaller timeframe ('Intra-Bar Timeframe'). It fits a Linear Regression line through the intra-bar data to decompose the 4th Moment: - **Trend Kurtosis (Gold):** Peakedness of the regression line itself. High values indicate the price path within the bar moves in sudden jumps, steps, or gaps (discontinuous path). - **Residual Kurtosis (Red):** Excess Kurtosis of the noise around the regression line. Captures "Hidden Tail Risk" or extreme outliers within the bar relative to the trend. - **Within-Bar Kurtosis (Blue):** Fat tails derived from the microstructure of individual intra-bar candles. - **Interaction Variance (Dark Grey):** The comovement of variance and mean deviations (volatility clustering relative to trend). - **Interaction Skewness (Darker Grey):** The comovement of skewness and mean deviations (asymmetry relative to trend). 2. **Visual Decomposition Logic:** Total Excess Kurtosis is the primary metric displayed. Since statistical moments are additive, this indicator calculates the *exact* Total Kurtosis and partitions the columns based on the Law of Total Moments. 3. **Dual Display Modes:** The indicator offers two modes to visualize this decomposition: - **Absolute Mode:** Plots the *total* kurtosis as a stacked column chart. Stacking logic groups components to ensure visual clarity of the magnitude. - **Relative Mode:** Plots the direct *contribution ratio* (proportion) of each component relative to the total sum, ideal for identifying the dominant driver (Trend vs. Noise). 4. **Calculation Options:** - **Normalization:** An optional 'Normalize' setting transforms inputs into logarithmic space, analyzing the kurtosis of *returns* rather than absolute prices. - **Volume Weighting:** An option (`Volume weighted`) applies volume weighting to all regression and moment calculations, emphasizing high-participation moves. 5. **Kurtosis Cycle Analysis:** - **Pivot Detection:** Includes a built-in pivot detector that identifies significant turning points (peaks/valleys) in the *total* kurtosis line. (Note: This is only visible in 'Absolute Mode'). - **Flexible Pivot Algorithms:** Supports various underlying mathematical models for pivot detection provided by the core library. 6. **Note on Confirmation (Lag):** Pivot signals are confirmed using a lookback method. A pivot is only plotted *after* the `Pivot Right Bars` input has passed, which introduces an inherent lag. 7. **Multi-Timeframe (MTF) Capability:** - **MTF Analysis Lines:** The entire intra-bar analysis can be run on a higher timeframe (using the `Timeframe` input), with standard options to handle gaps (`Fill Gaps`) and prevent repainting (`Wait for...`). - **Limitation:** The Pivot detection (`Calculate Pivots`) is **disabled** if a Higher Timeframe (HTF) is selected. 8. **Integrated Alerts:** Includes comprehensive alerts for: - Kurtosis magnitude (High Positive / High Negative). - Character changes (Trend Jumps vs. Noise Outliers). - Total Kurtosis pivot (High/Low) detection. **Caution: Real-Time Data Behavior (Intra-Bar Repainting)** This indicator uses high-resolution intra-bar data. As a result, the values on the **current, unclosed bar** (the real-time bar) will update dynamically as new intra-bar data arrives. This behavior is normal and necessary for this type of analysis. Signals should only be considered final **after the main chart bar has closed.** --- **DISCLAIMER** 1. **For Informational/Educational Use Only:** This indicator is provided for informational and educational purposes only. It does not constitute financial, investment, or trading advice, nor is it a recommendation to buy or sell any asset. 2. **Use at Your Own Risk:** All trading decisions you make based on the information or signals generated by this indicator are made solely at your own risk. 3. **No Guarantee of Performance:** Past performance is not an indicator of future results. The author makes no guarantee regarding the accuracy of the signals or future profitability. 4. **No Liability:** The author shall not be held liable for any financial losses or damages incurred directly or indirectly from the use of this indicator. 5. **Signals Are Not Recommendations:** The alerts and visual signals (e.g., crossovers) generated by this tool are not direct recommendations to buy or sell. They are technical observations for your own analysis and consideration.
Pine Script® indicator
by AustrianTradingMachine
Volume Weighted LR KurtosisThis indicator analyzes market character by decomposing total Excess Kurtosis ("Fat Tails") into four distinct, interpretable components based on a Linear Regression model. Key Features: 1. **Four-Component Kurtosis Decomposition:** The indicator separates market tail risk based on the 'Estimate Bar Statistics' option. It leverages the Law of Total Moments to provide an additive breakdown of the 4th Statistical Moment: - **Trend Kurtosis (Gold):** Peakedness of the regression line itself. High values indicate the trend moves in sudden jumps, steps, or gaps (discontinuous path). - **Residual Kurtosis (Red):** Excess Kurtosis of the noise around the regression line. This captures the "Hidden Tail Risk" (extreme outliers relative to the trend). - **Within-Bar Kurtosis (Blue):** Fat tails derived from the microstructure of individual bars (requires 'Estimate Bar Statistics'). - **Interaction Variance (Dark Grey):** The comovement of variance and mean deviations (volatility clustering relative to trend). - **Interaction Skewness (Darker Grey):** The comovement of skewness and mean deviations (asymmetry relative to trend). 2. **Visual Decomposition Logic:** Total Excess Kurtosis is the primary metric displayed. Since statistical moments are additive, this indicator calculates the *exact* Total Kurtosis and partitions the area to visualize the contribution (weight) of each structural source to the overall tail risk. 3. **Dual Display Modes:** The indicator offers two modes to visualize this decomposition: - **Absolute Mode:** Displays the *total* kurtosis as a stacked area chart, allowing to see the magnitude of tail risk. Stacking logic groups components to ensure visual clarity. - **Relative Mode:** Displays the direct *contribution ratio* (proportion) of each component relative to the total sum, ideal for identifying the dominant driver of the risk. 4. **Calculation Options:** - **Normalization:** An optional 'Normalize' setting transforms inputs into logarithmic space, analyzing the kurtosis of *returns* rather than absolute prices. - **Volume Weighting:** An option (`Volume weighted`) applies volume weighting to all regression and moment calculations, emphasizing high-participation moves. 5. **Kurtosis Cycle Analysis:** - **Pivot Detection:** Includes a built-in pivot detector that identifies significant turning points (peaks/valleys) in the *total* kurtosis line. This helps identify extremes in market fragility or structural changes. - **Flexible Pivot Algorithms:** Supports various underlying mathematical models for pivot detection provided by the core library. 6. **Note on Confirmation (Lag):** Pivot signals are confirmed using a lookback method. A pivot is only plotted *after* the `Pivot Right Bars` input has passed, which introduces an inherent lag. 7. **Multi-Timeframe (MTF) Capability:** - **MTF Kurtosis Lines:** The kurtosis lines can be calculated on a higher timeframe, with standard options to handle gaps (`Fill Gaps`) and prevent repainting (`Wait for...`). - **Limitation:** The Pivot detection (`Calculate Pivots`) is **disabled** if a Higher Timeframe (HTF) is selected. 8. **Integrated Alerts:** Includes comprehensive alerts for: - Kurtosis magnitude (High Positive / High Negative). - Kurtosis character changes/emerging/fading. - Total Kurtosis pivot (High/Low) detection. --- **DISCLAIMER** 1. **For Informational/Educational Use Only:** This indicator is provided for informational and educational purposes only. It does not constitute financial, investment, or trading advice, nor is it a recommendation to buy or sell any asset. 2. **Use at Your Own Risk:** All trading decisions you make based on the information or signals generated by this indicator are made solely at your own risk. 3. **No Guarantee of Performance:** Past performance is not an indicator of future results. The author makes no guarantee regarding the accuracy of the signals or future profitability. 4. **No Liability:** The author shall not be held liable for any financial losses or damages incurred directly or indirectly from the use of this indicator. 5. **Signals Are Not Recommendations:** The alerts and visual signals (e.g., crossovers) generated by this tool are not direct recommendations to buy or sell. They are technical observations for your own analysis and consideration.
Pine Script® indicator
by AustrianTradingMachine
Volume Weighted Intra Bar LR SkewnessThis indicator analyzes market character by decomposing total skewness (asymmetry) of a SINGLE BAR into four distinct, interpretable components based on a Linear Regression model. Key Features: 1. **Intra-Bar LR Skewness Decomposition:** For each bar on the chart, the indicator analyzes the underlying price action on a smaller timeframe ('Intra-Bar Timeframe'). It fits a Linear Regression line through the intra-bar data to decompose the 3rd Moment: - **Trend Skewness (Green/Red):** Asymmetry originating from the slope of the intra-bar regression line. Indicates if the price path within the bar is geometrically trend-driven. - **Residual Skewness (Yellow):** Asymmetry of the noise around the regression line. Captures "Tail Risk" or sudden shocks within the bar that deviate from the main path. - **Within-Bar Skewness (Blue):** Asymmetry derived from the microstructure of individual intra-bar candles. - **Interaction Skewness (Dark Grey):** Asymmetry caused by the correlation between price levels and volatility within the bar (e.g., volatility expanding as price drops). 2. **Visual Decomposition Logic:** Total Skewness is the primary metric displayed. Since statistical moments are additive, this indicator calculates the *exact* Total Skewness and partitions the columns based on the Law of Total Moments. 3. **Dual Display Modes:** The indicator offers two modes to visualize this decomposition: - **Absolute Mode:** Plots the *total* skewness as a stacked column chart. Stacking logic groups components with the same sign to ensure visual clarity. - **Relative Mode:** Plots the direct *contribution ratio* (proportion) of each component relative to the total sum, ideal for identifying the dominant driver (Trend vs. Noise). 4. **Calculation Options:** - **Normalization:** An optional 'Normalize' setting transforms inputs into logarithmic space, analyzing the skewness of *returns* rather than absolute prices. - **Volume Weighting:** An option (`Volume weighted`) applies volume weighting to all regression and moment calculations, emphasizing high-participation moves. 5. **Skewness Cycle Analysis:** - **Pivot Detection:** Includes a built-in pivot detector that identifies significant turning points (peaks/valleys) in the *total* skewness line. (Note: This is only visible in 'Absolute Mode'). - **Flexible Pivot Algorithms:** Supports various underlying mathematical models for pivot detection provided by the core library. 6. **Note on Confirmation (Lag):** Pivot signals are confirmed using a lookback method. A pivot is only plotted *after* the `Pivot Right Bars` input has passed, which introduces an inherent lag. 7. **Multi-Timeframe (MTF) Capability:** - **MTF Analysis Lines:** The entire intra-bar analysis can be run on a higher timeframe (using the `Timeframe` input), with standard options to handle gaps (`Fill Gaps`) and prevent repainting (`Wait for...`). - **Limitation:** The Pivot detection (`Calculate Pivots`) is **disabled** if a Higher Timeframe (HTF) is selected. 8. **Integrated Alerts:** Includes comprehensive alerts for: - Skewness magnitude (High Positive / High Negative). - Character changes (Trend vs. Noise dominance). - Total Skewness pivot (High/Low) detection. **Caution: Real-Time Data Behavior (Intra-Bar Repainting)** This indicator uses high-resolution intra-bar data. As a result, the values on the **current, unclosed bar** (the real-time bar) will update dynamically as new intra-bar data arrives. This behavior is normal and necessary for this type of analysis. Signals should only be considered final **after the main chart bar has closed.** --- **DISCLAIMER** 1. **For Informational/Educational Use Only:** This indicator is provided for informational and educational purposes only. It does not constitute financial, investment, or trading advice, nor is it a recommendation to buy or sell any asset. 2. **Use at Your Own Risk:** All trading decisions you make based on the information or signals generated by this indicator are made solely at your own risk. 3. **No Guarantee of Performance:** Past performance is not an indicator of future results. The author makes no guarantee regarding the accuracy of the signals or future profitability. 4. **No Liability:** The author shall not be held liable for any financial losses or damages incurred directly or indirectly from the use of this indicator. 5. **Signals Are Not Recommendations:** The alerts and visual signals (e.g., crossovers) generated by this tool are not direct recommendations to buy or sell. They are technical observations for your own analysis and consideration.
Pine Script® indicator
by AustrianTradingMachine
Volume Weighted LR SkewnessThis indicator analyzes market character by decomposing total skewness (asymmetry) into four distinct, interpretable components based on a Linear Regression model. Key Features: 1. **Four-Component Skewness Decomposition:** The indicator separates market asymmetry based on the 'Estimate Bar Statistics' option. It leverages the Law of Total Moments to provide an additive breakdown of the 3rd Statistical Moment: - **Trend Skewness (Green/Red):** Asymmetry originating from the slope of the regression line itself. Indicates if the trend path is geometrically skewed. - **Residual Skewness (Yellow):** Asymmetry of the noise around the regression line. Captures "Tail Risk" (e.g., sudden spikes against the trend). - **Within-Bar Skewness (Blue):** Asymmetry derived from the microstructure of individual bars (requires 'Estimate Bar Statistics'). - **Interaction Skewness (Dark Grey):** Asymmetry caused by the correlation between price levels and volatility (e.g., volatility expanding as price moves in one direction). *Dominance of this component indicates an unstable, emotional market.* 2. **Visual Decomposition Logic:** Total Skewness is the primary metric displayed. Since statistical moments are additive, this indicator calculates the *exact* Total Skewness and partitions the area to visualize the contribution (weight) of each structural source to the overall market bias. 3. **Dual Display Modes:** The indicator offers two modes to visualize this decomposition: - **Absolute Mode:** Displays the *total* skewness as a stacked area chart, allowing to see the magnitude of tail risk. Stacking logic groups components with the same sign to ensure visual clarity. - **Relative Mode:** Displays the direct *contribution ratio* (proportion) of each component relative to the total sum, ideal for identifying the dominant driver of asymmetry. 4. **Calculation Options:** - **Normalization:** An optional 'Normalize' setting transforms inputs into logarithmic space, analyzing the skewness of *returns* rather than absolute prices. - **Volume Weighting:** An option (`Volume weighted`) applies volume weighting to all regression and moment calculations, emphasizing high-participation moves. 5. **Skewness Cycle Analysis:** - **Pivot Detection:** Includes a built-in pivot detector that identifies significant turning points (peaks/valleys) in the *total* skewness line. This helps identify extremes in market sentiment or structural bias. - **Flexible Pivot Algorithms:** Supports various underlying mathematical models for pivot detection provided by the core library. 6. **Note on Confirmation (Lag):** Pivot signals are confirmed using a lookback method. A pivot is only plotted *after* the `Pivot Right Bars` input has passed, which introduces an inherent lag. 7. **Multi-Timeframe (MTF) Capability:** - **MTF Skewness Lines:** The skewness lines can be calculated on a higher timeframe, with standard options to handle gaps (`Fill Gaps`) and prevent repainting (`Wait for...`). - **Limitation:** The Pivot detection (`Calculate Pivots`) is **disabled** if a Higher Timeframe (HTF) is selected. 8. **Integrated Alerts:** Includes comprehensive alerts for: - Skewness magnitude (High Positive / High Negative). - Skewness character changes/emerging/fading. - Total Skewness pivot (High/Low) detection. --- **DISCLAIMER** 1. **For Informational/Educational Use Only:** This indicator is provided for informational and educational purposes only. It does not constitute financial, investment, or trading advice, nor is it a recommendation to buy or sell any asset. 2. **Use at Your Own Risk:** All trading decisions you make based on the information or signals generated by this indicator are made solely at your own risk. 3. **No Guarantee of Performance:** Past performance is not an indicator of future results. The author makes no guarantee regarding the accuracy of the signals or future profitability. 4. **No Liability:** The author shall not be held liable for any financial losses or damages incurred directly or indirectly from the use of this indicator. 5. **Signals Are Not Recommendations:** The alerts and visual signals (e.g., crossovers) generated by this tool are not direct recommendations to buy or sell. They are technical observations for your own analysis and consideration.
Pine Script® indicator
by AustrianTradingMachine
Volume Weighted Intra Bar LR CorrelationThis indicator analyzes market character by providing a detailed view of correlation. It applies a Linear Regression model to intra-bar price action, dissecting the total correlation of each bar into three distinct components. Key Features: 1. **Three-Component Correlation Decomposition:** The indicator separates correlation based on the 'Estimate Bar Statistics' option. - **Standard Mode (`Estimate Bar Statistics` = OFF):** Calculates correlation based on the selected `Source` (this results mainly in 'Trend' and 'Residual' correlation). - **Decomposition Mode (`Estimate Bar Statistics` = ON):** The indicator uses a statistical model ('Estimator') to calculate *within-bar* correlation. (Assumption: In this mode, the `Source` input is **ignored**, and an estimated mean for each bar is used instead). This separates correlation into: - **Trend Correlation (Green/Red):** Correlation explained by the regression's slope (Directional Alignment). - **Residual Correlation (Yellow):** Correlation from price oscillating around the regression line (Mean-Reversion/Cointegration). - **Within-Bar Correlation (Blue):** Correlation from the high-low range of each bar (Microstructure/Noise). 2. **Visual Decomposition Logic:** Total Correlation is the primary metric displayed. Since Correlation Coefficients are not linearly additive, this indicator plots the *exact* Total Correlation and partitions the area underneath based on the Covariance Ratio. This ensures the displayed total correlation remains mathematically accurate while showing relative composition. 3. **Dual Display Modes:** The indicator offers two modes to visualize this decomposition: - **Absolute Mode:** Displays the *total* correlation as a stacked area chart, partitioned by the ratio of the three components. - **Relative Mode:** Displays the direct *energy ratio* (proportion) of each component relative to the total (0-1), ideal for identifying the dominant market character. 4. **Calculation Options:** - **Normalization:** An optional 'Normalize' setting calculates an **Exponential Regression Curve** (log-space), making the analysis suitable for growth assets. - **Volume Weighting:** An option (`Volume weighted`) applies volume weighting to all regression and correlation calculations. 5. **Correlation Cycle Analysis:** - **Pivot Detection:** Includes a built-in pivot detector that identifies significant turning points (highs and lows) in the *total* correlation line. (Note: This is only visible in 'Absolute Mode'). - **Flexible Pivot Algorithms:** Supports various underlying mathematical models for pivot detection provided by the core library. 6. **Note on Confirmation (Lag):** Pivot signals are confirmed using a lookback method. A pivot is only plotted *after* the `Pivot Right Bars` input has passed, which introduces an inherent lag. 7. **Multi-Timeframe (MTF) Capability:** - **MTF Correlation Lines:** The correlation lines can be calculated on a higher timeframe, with standard options to handle gaps (`Fill Gaps`) and prevent repainting (`Wait for...`). - **Limitation:** The Pivot detection (`Calculate Pivots`) is **disabled** if a Higher Timeframe (HTF) is selected. 8. **Integrated Alerts:** Includes comprehensive alerts for: - Correlation magnitude (High Positive / High Inverse). - Correlation character changes/emerging/fading. - Total Correlation pivot (High/Low) detection. **Caution! Real-Time Data Behavior (Intra-Bar Repainting)** This indicator uses high-resolution intra-bar data. As a result, the values on the **current, unclosed bar** (the real-time bar) will update dynamically as new intra-bar data arrives. This behavior is normal and necessary for this type of analysis. Signals should only be considered final **after the main chart bar has closed.** --- **DISCLAIMER** 1. **For Informational/Educational Use Only:** This indicator is provided for informational and educational purposes only. It does not constitute financial, investment, or trading advice, nor is it a recommendation to buy or sell any asset. 2. **Use at Your Own Risk:** All trading decisions you make based on the information or signals generated by this indicator are made solely at your own risk. 3. **No Guarantee of Performance:** Past performance is not an indicator of future results. The author makes no guarantee regarding the accuracy of the signals or future profitability. 4. **No Liability:** The author shall not be held liable for any financial losses or damages incurred directly or indirectly from the use of this indicator. 5. **Signals Are Not Recommendations:** The alerts and visual signals (e.g., crossovers) generated by this tool are not direct recommendations to buy or sell. They are technical observations for your own analysis and consideration.
Pine Script® indicator
by AustrianTradingMachine
Volume Weighted LR Z ScoreThis indicator calculates the Volume Weighted Linear Regression Z-Score (VWLRZS). Unlike a standard Z-Score which measures deviation from a static mean, this oscillator measures the statistical distance of price from a dynamic Volume-Weighted Linear Regression Line (Analysis of Residuals). Key Features: 1. **Volatility Decomposition:** The indicator separates volatility based on the 'Estimate Bar Statistics' option. - **Standard Mode (`Estimate Bar Statistics` = OFF):** Calculates standard Regression Residuals using the selected `Source` for both the regression line (baseline) and the signal. - **Decomposition Mode (`Estimate Bar Statistics` = ON):** Uses a hybrid statistical approach: a) **The Model (Baseline):** Uses an estimator to calculate the 'within-bar' mean and fits the Linear Regression through these statistical centers. This creates a stable, trend-following expectation model. b) **The Signal (Observation):** Compares the actual `Source` (e.g., Close) against this regression line. (Result: A Z-Score that measures deviations from the current trend slope rather than a flat average). 2. **Visual Decomposition Logic:** Total Standard Deviation (of Residuals) is the primary metric displayed. Since Standard Deviations are not linearly additive (sqrt(a+b) != sqrt(a)+sqrt(b)), this indicator calculates the *exact* Total Z-Score and partitions the area underneath based on the Variance Ratio. This ensures the displayed total volatility remains mathematically accurate while showing relative composition. 3. **Normalization (Exponential Regression):** Includes an optional 'Normalize' mode. When enabled, the indicator calculates the Linear Regression on logarithmic data. Mathematically, this transforms the baseline into an **Exponential Regression Curve**, making it ideal for analyzing assets with compounding growth characteristics (constant percentage trend). 4. **Full Divergence Suite (Class A, B, C):** The indicator's primary feature is its integrated divergence engine. It automatically detects and plots all three major divergence classes between price and the Z-Score: - Regular (A): Signals potential trend exhaustion and reversals. - Hidden (B): Signals potential trend continuations during pullbacks. - Exaggerated (C): Signals weakness at double tops/bottoms. 5. **Divergence Filtering and Visualization:** - **Price Tolerance Filter:** Divergence detection is enhanced with a percentage-based price tolerance (`pivPrcTol`) to filter out insignificant market noise, leading to more robust signals. - **Persistent Visualization:** Divergence markers are plotted for the entire duration of the signal and are visually anchored to the oscillator level of the confirming pivot. - **Flexible Pivot Algorithms:** Supports various underlying mathematical models for pivot detection provided by the core library 6. **Note on Confirmation (Lag):** Divergence signals rely on a pivot confirmation method to ensure they do not repaint. - The **Start** of a divergence is only detected *after* the confirming pivot is fully formed (a delay based on `Pivot Right Bars`). - The **End** of a divergence is detected either instantly (if the signal is invalidated by price action) or with a delay (when a new, non-divergent pivot is confirmed). 7. **Multi-Timeframe (MTF) Capability:** - **MTF Calculation:** The Z-Score line *itself* can be calculated on a higher timeframe, with standard options to handle gaps (`Fill Gaps`) and prevent repainting (`Wait for...`). - **Limitation:** The Divergence detection engine (`pivDiv`) is designed for the active timeframe. Using it in MTF mode is not recommended as step-data can lead to inaccurate pivot detection. 8. **Integrated Alerts:** Includes a comprehensive set of built-in alerts for the Z-Score crossing the neutral line, the configured Threshold levels, and the start/end of all divergence types. --- **DISCLAIMER** 1. **For Informational/Educational Use Only:** This indicator is provided for informational and educational purposes only. It does not constitute financial, investment, or trading advice, nor is it a recommendation to buy or sell any asset. 2. **Use at Your Own Risk:** All trading decisions you make based on the information or signals generated by this indicator are made solely at your own risk. 3. **No Guarantee of Performance:** Past performance is not an indicator of future results. The author makes no guarantee regarding the accuracy of the signals or future profitability. 4. **No Liability:** The author shall not be held liable for any financial losses or damages incurred directly or indirectly from the use of this indicator. 5. **Signals Are Not Recommendations:** The alerts and visual signals (e.g., crossovers) generated by this tool are not direct recommendations to buy or sell. They are technical observations for your own analysis and consideration.
Pine Script® indicator
by AustrianTradingMachine
Vietnamese Stock: Discount Linear Regression Liquidity GrabThe Discount Linear Regression Liquidity Grab is a sophisticated technical analysis tool that combines statistical trend analysis with Premium/Discount Zone and Price Action logic. Unlike standard Linear Regression Channels that repaint or stretch indefinitely, this indicator is dynamic: it automatically detects volatility breakouts to "reset" the channel, creating distinct market "Sections." This tool is designed to help traders identify trend exhaustion, fair value gaps (FVGs), and high-probability reversal or continuation zones using two distinct built-in strategies. Key Features 1. Dynamic Channel Resets The core engine calculates a Linear Regression Channel based on a Pearson R coefficient and Deviation multipliers. - How it works: When price breaks out of the Upper or Lower Deviation bands, the script recognizes a shift in momentum. It "locks" the previous channel and begins calculating a new one from the breakout point. - Benefit: This creates a historical map of market structure, showing you exactly where previous trends began and ended. 2. Smart Money Concepts (SMC) Integration For every completed section (channel), the indicator automatically highlights: Highest High & Lowest Low Boxes: Identifies the structural range of the previous move. - Gaps & FVGs: Automatically draws boxes for Fair Value Gaps and Price Gaps within the channel, acting as potential magnets for price. 3. The Discount Zone (New Feature) The indicator projects a Discount Area (Red Box) from the previous section's midline down to its lowest low. - Logic: This box represents the "Discount" pricing relative to the previous move. - Behavior: The box extends to the right until price successfully "grabs liquidity" (closes below the midline/red line). Once the grab occurs, the box stops extending, marking that the liquidity event is complete. Built-In Strategies This indicator includes two automated strategy signals based on the interaction between current price and historical sections. Strategy 1: Breakout & Retest (Trend Continuation) This strategy looks for a classic resistance-turned-support setup. - Breakout: Price closes above the Highest High of a previous section (Triangle Up). - Retest: Price pulls back and closes at or below that breakout level (Triangle Down). - Confirmation: Price breaks above the high of the initial breakout candle (Green Background). Strategy 2: Midline Reclaim (Mean Reversion / Discount Buy) This strategy focuses on buying from the "Discount" zone. - Liquidity Grab: Price drops below the Midline (Red Line) of a previous section, entering the Discount Zone. - Reclaim: Price closes back above the Midline, signaling that the dip was bought up. Signal: A Diamond shape and Teal Background appear. How to Use - Trend Trading: Use the Dynamic Channels to visualize the current slope. If the channel is angling up, look for long setups. - Confluence: Use the Discount Zones and FVG boxes as areas of interest. If price enters a Red Discount Box and forms a reversal pattern, it is a high-probability entry. - Stop Loss Placement: The Lowest Low boxes of previous sections serve as excellent invalidation points for long positions. Alerts The indicator comes with pre-configured alerts for: - Strategy 1 Confirmation. - Strategy 2 Midline Reclaim. - New Channel Formation (Trend Reset). - Liquidity Grab Events.
Pine Script® indicator
by doqkhanh
Advanced Linear Regression Pro [PointAlgo]Advanced Linear Regression Pro is an open-source tool designed to visualize market structure using linear regression, volatility bands, and optional volume-weighted calculations. The indicator expands the concept of regression channels by adding higher-timeframe confluence, slope analysis, imbalance detection, and breakout highlighting. Key Features • Volume-Weighted Regression Weights the regression curve based on volume to highlight periods of strong participation. • Dynamic Standard-Deviation Bands Upper and lower bands are derived from volatility to help visualize potential expansion or contraction zones. • Multi-Timeframe (MTF) Regression Plots higher-timeframe regression lines and bands for additional trend context. • Slope Strength Analysis Helps identify whether the current regression slope is trending upward, downward, or in a neutral range. • Order Flow Imbalance Detection Highlights bars where price and volume move unusually fast, which may indicate liquidity voids or imbalance zones. • Breakout Markers Shows simple visual markers when the price closes beyond volatility bands with volume confirmation. These are visual signals only, not trading signals. How to Use This indicator is meant for visual market analysis, such as: Observing trend direction through regression slope Spotting volatility expansions Comparing price against higher-timeframe regression structure Identifying areas where price moves rapidly with volume It can be used on any market or timeframe. No part of this script is intended as financial advice or a complete trading system.
Pine Script® indicator
by pointalgo
Pulse RSI | Lyro RSPulse RSI | Lyro RS The Pulse RSI is a momentum oscillator that enhances the traditional RSI by incorporating volume-weighted price and linear regression. It generates multiple trading signals, including trend shifts, overbought/oversold conditions, and custom threshold levels. By integrating both price and volume into its calculation, Pulse RSI is more robust and responsive than the standard RSI. This helps you identify trends faster, spot potential reversals sooner, and set up custom alerts based on your own strategy. Key Features Four Signal Types: Type 1 (Trend): Triggers when the indicator's current value crosses its previous value, highlighting short-term momentum shifts. Type 2 (Midline Trend): The classic midline cross. A bullish bias is indicated above 50, while a bearish bias is indicated below 50. Type 3 (Overbought/Oversold): Flags potential reversal zones, suggesting where buying or selling opportunities may emerge. Type 4 (Custom Thresholds): This type lets you define your own threshold levels. Instead of following a trend, use it to mark your specific conditions for a reversal. For example, set a long reversal at a low level (e.g., 5) for an early buy signal, or a short reversal at a high level (e.g., 80) for an early sell signal. Calculation Method: The indicator uses a volume-weighted price (Close * High * Low) and applies linear regression to smooth the data. This creates a unique and more stable oscillator, avoiding the chaotic movement seen in others. Color System: Choose from multiple color themes like Classic, Mystic, Accented, and Royal, or create your own custom colors for bullish and bearish signals. Visual Plotting: Features a clear plot with a glow effect, a midline, adjustable threshold lines, and shapes/labels to mark long/short and overbought/oversold signals. Alerts: Instant alerts are available for every signal type, which you can quickly enable based on your trading conditions. How It Works: Core Calculation The indicator calculates a volume-weighted price using (Close * High * Low) multiplied by the absolute volume. This value is then smoothed with linear regression and converted into an oscillator, normalized to a 0-100 scale. Trading Logic: Bullish Signals: Trigger when the main plot line crosses above a key level—be it the previous value, the 50 midline, or a custom threshold. Bearish Signals: Trigger when the main plot line crosses below a key level. Visual Logic: The system displays a main plot line, colors candles, and plots signal shapes, all customizable through a variety of color schemes. Practical Use Trend Confirmation (Types 1 & 2): Use Type 1 for early momentum shifts and Type 2 to confirm the overall trend direction. Reversals (Type 3): Consider long entries when oversold signals fire, suggesting an asset is undervalued. Look for exits at overbought signals, which suggest a potential downward reversal. Custom Thresholds (Type 4): Set tight thresholds to catch early trends and reversals. Be aware that more sensitive settings may also increase false positives. Customization: Adjust the Length: A higher setting makes the indicator more suited for long-term trends, while a lower setting makes it more sensitive for short-term moves. Enable/Disable Signals: Turn the four signal types on or off to match your trading style. Set Your Levels: Fully adjustable thresholds for Type 4 long/short conditions. Choose Your Colors: Select from a variety of color schemes for all bullish and bearish elements. ⚠️ Disclaimer This indicator is a tool for technical analysis and does not guarantee results. It should be used alongside other analysis methods and solid risk management practices. The creators are not responsible for any financial decisions made based on its signals.
Pine Script® indicator
by LyroRS
2
Volume Weighted Volatility RegimeThe Volume-Weighted Volatility Regime (VWVR) is a market analysis tool that dissects total volatility to classify the current market 'character' or 'regime'. Using a Linear Regression model, it decomposes volatility into Trend, Residual (mean-reversion), and Within-Bar (noise) components. Key Features: Seven-Stage Regime Classification: The indicator's primary output is a regime value from -3 to +3, identifying the market state: +3 (Strong Bull Trend): High directional, upward volatility. +2 (Choppy Bull): Moderate upward trend with noise. +1 (Quiet Bull): Low volatility, slight upward drift. 0 (Neutral): No clear directional bias. -1 (Quiet Bear): Low volatility, slight downward drift. -2 (Choppy Bear): Moderate downward trend with noise. -3 (Strong Bear Trend): High directional, downward volatility. Advanced Volatility Decomposition: The regime is derived from a three-component volatility model that separates price action into Trend (momentum), Residual (mean-reversion), and Within-Bar (noise) variance. The classification is determined by comparing the 'Trend' ratio against the user-defined 'Trend Threshold' and 'Quiet Threshold'. Dual-Level Analysis: The indicator analyzes market character on two levels simultaneously: Inter-Bar Regime (Background Color): Based on the main StdDev Length, showing the overall market character. Intra-Bar Regime (Column Color): Based on a high-resolution analysis within each single bar ('Intra-Bar Timeframe'), showing the micro-structural character. Calculation Options: Statistical Model: The 'Estimate Bar Statistics' option (enabled by default) uses a statistical model ('Estimator') to perform the decomposition. (Assumption: In this mode, the Source input is ignored, and an estimated mean for each bar is used instead). Normalization: An optional 'Normalize Volatility' setting calculates an Exponential Regression Curve (log-space). Volume Weighting: An option (Volume weighted) applies volume weighting to all volatility calculations. Multi-Timeframe (MTF) Capability: The entire dual-level analysis can be run on a higher timeframe (using the Timeframe input), with standard options to handle gaps (Fill Gaps) and prevent repainting (Wait for...). Integrated Alerts: Includes 22 comprehensive alerts that trigger whenever the 'Inter-Bar Regime' or the 'Intra-Bar Regime' crosses one of the key thresholds (e.g., 'Regime crosses above Neutral Line'), or when the 'Intra-Bar Dominance' crosses the 50% mark. Caution: Real-Time Data Behavior (Intra-Bar Repainting) This indicator uses high-resolution intra-bar data. As a result, the values on the current, unclosed bar (the real-time bar) will update dynamically as new intra-bar data arrives. This behavior is normal and necessary for this type of analysis. Signals should only be considered final after the main chart bar has closed. DISCLAIMER For Informational/Educational Use Only: This indicator is provided for informational and educational purposes only. It does not constitute financial, investment, or trading advice, nor is it a recommendation to buy or sell any asset. Use at Your Own Risk: All trading decisions you make based on the information or signals generated by this indicator are made solely at your own risk. No Guarantee of Performance: Past performance is not an indicator of future results. The author makes no guarantee regarding the accuracy of the signals or future profitability. No Liability: The author shall not be held liable for any financial losses or damages incurred directly or indirectly from the use of this indicator. Signals Are Not Recommendations: The alerts and visual signals (e.g., crossovers) generated by this tool are not direct recommendations to buy or sell. They are technical observations for your own analysis and consideration.
Pine Script® indicator
by AustrianTradingMachine