Moving Average Trend Strategy V2.1 — With Stop Loss and Add Posi**Strategy Feature Description:**
---
### **Entry Logic:**
* When **MA7** crosses **MA15**, and the distance between **MA15** and **MA99** is less than **0.5%**
* When **MA15** crosses **MA99**, and the distance between **MA7** and **MA15** is less than **0.5%**
* When the distance among all three MAs (**MA7**, **MA15**, **MA99**) is less than **0.5%** (adjustable via parameters)
---
### **Capital Management:**
* Initial capital: **$100**
* Each position uses **15%** of total capital
* Opens **both long and short positions simultaneously** (dual-direction mode)
---
### **Risk Control:**
* **Long position stop-loss:** Entry price − 2%
* **Short position stop-loss:** Entry price + 2%
* Uses a **five-level take-profit grid**:
* Every 5% profit → close 20% of position
* Any pending take-profit orders are automatically canceled when stop-loss triggers
---
### **Visualization Features:**
* Real-time display of the three moving averages
* Chart annotations for entry signal points
* All trade signals and performance can be viewed through **TradingView backtest reports**
---
### **Notes:**
* Parameters can be adjusted based on the volatility of the instrument (historical backtesting is recommended first)
* Dual-direction positions may generate **hedging costs** — recommended for low-fee markets
* Real trading must consider **exchange minimum order size limits**
* Suggest enabling a **volume filter mechanism** (extension interface already reserved)
* Always perform **historical backtesting and parameter optimization** in TradingView before connecting to live trading systems
Forecasting
Swing AURORA v4.0 — Refined Trend Signals### Swing Algo v4.0 — Refined Trend Signals
#### Overview
Swing Algo v4.0 is an advanced technical indicator designed for TradingView, built to detect trend changes and provide actionable buy/sell signals in various market conditions. It combines multiple technical elements like moving averages, ADX for trend strength, Stochastic RSI for timing, and RSI divergence for confirmation, all while adapting to different timeframes through auto-tuning. This indicator overlays on your chart, highlighting trend regimes with background colors, displaying buy/sell labels (including "strong" variants), and offering early "potential" signals for proactive trading decisions. It's suitable for swing trading, trend following, or as a filter for other strategies across forex, stocks, crypto, and other assets.
#### Purpose
The primary goal of Swing Algo v4.0 is to help traders identify high-probability trend reversals and continuations early, reducing noise and false signals. It aims to provide clear, non-repainting signals that align with market structure, volatility, and momentum. By incorporating filters like higher timeframe (HTF) alignment, bias EMAs, and divergence, it refines entries for better accuracy. The indicator emphasizes balanced performance across aggressive, balanced, and conservative modes, making it versatile for both novice and experienced traders seeking to optimize their decision-making process.
#### What It Indicates
- **Trend Regimes (Background Coloring)**: The chart background changes color to reflect the current market regime:
- **Green (Intense for strong uptrends, faded when cooling)**: Indicates bullish trends where price is above the baseline and EMAs are aligned upward.
- **Red/Maroon (Intense maroon for strong downtrends, faded red when cooling)**: Signals bearish trends with price below the baseline and downward EMA alignment.
- **Faded Yellow**: Marks "no-trade" zones or potential trend changes, where conditions are choppy, weak, or neutral (e.g., low ADX, near baseline, or low volatility).
- **Buy/Sell Signals**: Labels appear on the chart for confirmed entries:
- "BUY" or "STRONG BUY" for bullish signals (strong variants require higher scores and optional divergence).
- "SELL" or "STRONG SELL" for bearish signals.
- **Potential Signals**: Early warnings like "Potential BUY" or "Potential SELL" appear before full confirmation, allowing traders to anticipate moves (confirmed after a few bars based on the trigger window).
- **Divergence Marks**: Small "DIV↑" (bullish) or "DIV↓" (bearish) labels highlight RSI divergences on pivots, adding confluence for strong signals.
- **Lines**: Optional plots for baseline (teal), EMA13/21 (lime/red based on crossover), providing visual trend context.
Signals are anchored either to the current bar or confirmed pivots, ensuring alignment with price action. The indicator avoids repainting by confirming on close if enabled.
#### Key Parameters and Customization
Swing Algo v4.0 offers minimal yet efficient parameters for fine-tuning, with defaults optimized for common use cases. Most can be auto-tuned based on timeframe for simplicity:
- **Confirm on Close (no repaint)**: Boolean (default: true) – Ensures signals don't repaint by waiting for bar confirmation.
- **Auto-tune by Timeframe**: Boolean (default: true) – Automatically adjusts lengths and sensitivity for 5-15m, 30-60m, 2-4h, or higher frames.
- **Mode**: String (options: Aggressive, Balanced , Conservative) – Controls signal thresholds; Aggressive for more signals, Conservative for fewer but higher-quality ones.
- **Signal Anchor**: String (options: Pivot (divLB) , Current bar) – Places labels on confirmed pivots or the current bar.
- **Trigger Window (bars)**: Integer (default: 3) – Window for signal timing; auto-tuned if enabled.
- **Baseline Type**: String (options: HMA , EMA, ALMA) – Core trend line; lengths auto-tune (e.g., 55 for short frames).
- **Use Bias EMA Filter**: Boolean (default: false) – Adds a long-term EMA for trend bias.
- **Use HTF Filter**: Boolean (default: false) – Aligns with higher timeframe (auto or manual like 60m, 240m, D); override for stricter scoring.
- **Sensitivity (10–90)**: Integer (default: 55) – Adjusts ADX threshold for trend detection; higher = more sensitive.
- **Use RSI-Stoch Trigger**: Boolean (default: true) – Enables Stochastic RSI for entry timing; customizable lengths, smooths, and levels.
- **Use RSI Divergence for STRONG**: Boolean (default: true) – Requires divergence for strong signals; pivot lookback (default: 5).
- **Visual Options**: Booleans for background regime, labels, divergence marks, and lines (all default: true).
These parameters are grouped for ease, with tooltips in TradingView for quick reference. Start with defaults and tweak based on backtesting.
#### How It Works
At its core, Swing Algo v4.0 calculates a baseline (e.g., HMA) to define the trend direction. It then scores potential buys/sells using factors like:
- **Trend Strength**: ADX above a dynamic threshold, combined with EMA crossovers (13/21) and slope analysis.
- **Volatility/Volume**: Bollinger/Keltner squeeze exits, volume z-score, and ATR filters to avoid choppy markets.
- **Timing**: Stochastic RSI crossovers or micro-timing via DEMA/TEMA for precise entries.
- **Filters**: Bias EMA, HTF alignment, gap from baseline, and no-trade zones (weak ADX, near baseline, low vol).
- **Divergence**: RSI pivots confirm strong signals.
- **Scoring**: Buy/sell scores (min 3-5 based on mode) trigger labels only when all gates pass, with early "potential" detection for foresight.
The algorithm processes these in real-time, auto-adapting to timeframe for efficiency. Signals flip only on direction changes to prevent over-trading. For best results, use on liquid assets and combine with risk management.
#### Disclaimer
This indicator is for educational and informational purposes only and does not constitute financial advice, investment recommendations, or trading signals. Trading involves significant risk of loss and is not suitable for all investors. Past performance is not indicative of future results. Always backtest the indicator on your preferred assets and timeframes, and consult a qualified financial advisor before making any trading decisions. The author assumes no liability for any losses incurred from using this script. Use at your own risk.
BTC Flow Dashboard : Spot Premium + OI + Funding + Cycle SignalsSpot Premium vs Perpetual Basket (%):
Tracks how aggressively perps are trading relative to spot, a leading indicator of speculative activity and leverage buildup.
Aggregated Open Interest Z-Score:
A normalized view of OI expansion/contraction across major exchanges (Binance, BitMEX, Bybit, Kraken, etc.), highlighting when leverage enters overheated zones.
Composite Funding Rate Analysis:
Calculates a TWAP-smoothed funding composite across major venues, with optional APR scaling, showing where perpetual markets are paying for long or short exposure.
Confluence Signal Engine:
Dynamically flags bullish or bearish market conditions based on premium behavior and leverage environment — including over-leverage warnings that often precede volatility spikes.
Extreme Cycle Tops & Bottoms (Experimental):
Optional signal module that highlights historically significant extremes (e.g., 2020 bottom or 2021 top) based on statistical Z-score thresholds across the three core metrics.
Notes & Tips
Works best on weekly or monthly timeframes for macro cycle analysis.
Daily and 3D views provide short-term leverage context but may produce more frequent signals.
The Extreme Signal Engine is experimental — not a trading signal on its own, but a contextual tool to support macro decision-making.
BTC Flow Dashboard (Spot Premium + OI + Funding)It builds a single flows dashboard that shows whether real spot demand (fiat buyers) or leveraged perps (futures traders) are driving BTC, and then cross-checks that with Open Interest (OI) and funding pressure—all normalized so you can spot regime shifts and squeeze risk fast.
How to read it (practical playbook)
Continuation (healthier trend)
Price ↑, premium > 0 and rising, oiZ ≥ 0 → spot sponsoring the move; perps chase → add on pullbacks.
Leverage-led & vulnerable
Price ↑, premium < 0, fundZ > 0 (expensive longs) → crowding → fade extensions / expect sharp pullbacks.
Buyable dip / absorption
Price ↓, premium ≥ 0 (spot supporting), oiZ flat/down, fundZ ≤ 0 → selling looks weak → scale into reversals.
Exhaustion / mean reversion
premZ ≥ +2 after a run → flows unusually hot → take profits / tighten risk.
premZ ≤ −2 into key support → capitulation risk but also bounce setups if OI/funding aren’t pressuring.
CMF, RSI, CCI, MACD, OBV, Fisher, Stoch RSI, ADX (+DI/-DI)Eight normalized indicators are used in conjunction with the CMF, CCI, MACD, and Stoch RSI indicators. You can track buy and sell decisions by tracking swings. The zero line is for reversal tracking at -20, +20, +50, and +80. You can use any of the nine indicators individually or in combination.
Opening Range Breakout [Boomer]OBR. Set your time zone. Chose between 5min ,15min, 30min, 60min or 120 min with just a click.
Smart Money Panel By: arisutiknoKEY FEATURES:
✅ Smart Money Detection - Automatic Order Blocks Detection
✅ Full Customization - All colors can be customized
✅ Clean Panel Design - Professional and informative look
✅ Real-time Signals - Actionable trading signals
✅ Multiple Signal Types - BUY/SELL AT OB, NEAR ZONE, WAITING
✅ Custom Signal Colors - Signal colors can be set separately
Makes it easier to make decisions. Good Luck Brooo
YM & NQ Directional Strength PanelA real-time momentum visualization tool for tracking directional strength across three major U.S. equity index futures (YM, NQ, ES). The indicator displays RSI-based momentum readings for each contract using a color-coded histogram that transitions from bright green (bullish, above 50) to bright red (bearish, below 50).
Live momentum tracking for Dow (YM), Nasdaq (NQ), and S&P 500 (ES) micro contracts
Customizable moving average types (ALMA, EMA, SuperSmoother) with adjustable parameters
Visual confirmation of multi-index alignment - quickly spot when all three indices agree on direction
Dynamic color gradient showing overbought (top) and oversold (bottom) zones
Ideal for scalpers and day traders who need quick confirmation of market directional bias across multiple indices without cluttering their charts.
PivotBoss Oscillator (PBOsc)PivotBoss Oscillator (PBOsc) – Description
The PivotBoss Oscillator (PBOsc) is a momentum-based indicator derived from the PivotBoss PEMA Method, designed to identify market bias, trend strength, and potential reversals across all timeframes and instruments.
Unlike traditional oscillators, PBOsc measures the differential among three pivot-based EMAs (fast, medium, and slow) relative to the pivot point (PP) of each bar, allowing it to self-adjust dynamically with current market volatility.
Calculation Logic
Pivot Point (PP):
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PP=(High+Low+Close)/3
Pivot-Based EMAs:
Fast PEMA = EMA(PP, fast length)
Medium PEMA = EMA(PP, medium length)
Slow PEMA = EMA(PP, slow length)
Differentials:
Diff1 = Fast PEMA − Slow PEMA
Diff2 = Medium PEMA − Slow PEMA
Diff3 = Fast PEMA − Medium PEMA
Oscillator Value:
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PBOsc=(Diff1+Diff2+Diff3)/PP
Interpretation
Above Zero Line (0): Bullish bias; momentum favors the upside.
Below Zero Line (0): Bearish bias; momentum favors the downside.
Advancing Bars (Green): PBOsc rising → Strengthening trend or positive momentum.
Declining Bars (Red): PBOsc falling → Weakening trend or negative momentum.
Analytical Uses
Change of Bias: Detects short-term shifts in market sentiment.
Trending Markets: Measures pullbacks or continuations within ongoing trends.
Divergence: Divergence between price and PBOsc can signal potential reversals.
Default Settings
Default: (8, 13, 21)
Alternate Presets: (5, 8, 13), (13, 21, 34), (21, 34, 55)
Moon Phases Long/Short StrategyThis is an experiment of Moon Phases, likely buy when full moon and sell when new moon with few changes, like it would buy a day ahead or sometimes sell a day post these events, with Stop loss and take profits, 50% profitable so sounds good to me
Long only good for bitcoin gold, both modes(L+S) better for stocks and alt coins
超趨勢策略 (中文)-Caelusif ta.change(direction) < 0
strategy.entry("My Long Entry Id", strategy.long)
if ta.change(direction) > 0
strategy.entry("My Short Entry Id", strategy.short)
Darvas Box with alertsTitle: Darvas Box with Breakout Signals
This indicator implements the legendary Darvas Box trading strategy developed by Nicolas What is the Darvas Box?
The Darvas Box is a momentum-based trading method that identifies consolidation zones by drawing boxes around price ranges. When price breaks out of these boxes, it often signals the beginning of a new trend.
Features:
Automatic Darvas Box detection and drawing based on customizable box length parameter
Dynamic box coloring (Green when price is above, Red when below, Yellow when inside)
Visual breakout signalsAdjust the "Box Length" parameter to match your trading timeframe (default: 5)
Wait for a Darvas Box to form (consolidation period)
Look for breakout signals (triangles) indicating potential trading opportunities
Set up alerts to be notified when breakouts occur
Use the box levels as potential support/resistance zones
Digital RPM HUD — 4 Feeds + Confidence + Timeline (v3)🏎️ Digital RPM HUD — 4 Feeds + Confidence + Timeline (v3)
A performance-style trading dashboard for momentum-driven traders.
The Digital RPM HUD gives you an instant visual readout of market “engine speed” — combining four customizable data feeds (Trend, Momentum, Volume, Volatility) into a single confidence score (0–100) and a color-coded timeline of regime changes.
Think of it as a racing-inspired control panel: you only “hit the throttle” when confidence is high and all systems agree.
🔧 Key Features
4 Data Feeds – assign your own logic (EMA, RSI, RVOL, ATR, etc.).
Confidence Meter – blends the four feeds into one smooth 0–100 reading.
Timeline Strip – shows recent bullish / bearish / neutral states at a glance.
Visual Trade Cues – optional on-chart LONG / SHORT / EXIT markers.
Fully Customizable – thresholds, weights, smoothing, colors, layout.
HUD Overlay – clean, minimal, and adjustable to any corner of your chart.
💡 How to Use
Configure each feed to reflect your preferred signals (e.g., trend EMA 200, momentum RSI 14, volume RVOL 20, volatility ATR 14).
Watch the Confidence gauge:
✅ Above Bull Threshold → Market acceleration / long bias.
❌ Below Bear Threshold → Momentum loss / short bias.
⚪ Between thresholds → Neutral zone; stay patient.
Use the Timeline to confirm trend consistency — more green = bullish regime, more red = bearish.
⚙️ Recommended Setups
Scalping: Trend EMA 50 + RSI 7 + RVOL 10 + ATR 7 → Fast response.
Intraday: EMA 200 + RSI 14 + RVOL 20 + ATR 14 → Balanced signal.
Swing: Multi-TF Trend + MACD + RVOL + ATR → Smooth and steady.
⚠️ Disclaimer
This script is not a trading strategy and does not execute trades.
All signals are visual aids — always confirm with your own analysis and risk management.
Bitcoin Halving Cycle Strategy ProBitcoin Halving Cycle Strategy Pro - Advanced Market Cycle Analysis Tool
This professional indicator analyzes Bitcoin's 4-year halving cycles using precise mathematical calculations. It identifies bull and bear market phases based on 500 days before and 560 days after each halving event, providing traders with data-driven market cycle insights.
Key Features:
• Automatic Bull/Bear Market Zone Detection with color-coded areas
• Historical Halving Analysis (2012-2028) with future projections
• Live Performance Tracking during bull phases (returns, max drawdown)
• Customizable cycle parameters (days before/after halving)
• Interactive info table showing current cycle phase and metrics
• Visual timeline markers for halving dates and cycle boundaries
Perfect for long-term Bitcoin investors, cycle analysts, and traders who want to understand market psychology and timing based on historical halving patterns. Uses proven 1060-day cycle theory backed by empirical data.
GLOBAL LIQUIDITY PROXY, G5 Total Liquidity (CBBS + M2) - USDG5 Total Liquidity (CBBS + M2) - USD
G5 (US, CN, EU, JP, GB)
Somma Balance Sheet Central Banks e M2 convertiti in USD
Devil Marks - Multi TimeframeA handy completely new script that shows Devil Marks for several time frames on the current time frame.
Devil Marks are where candles have no wick at one end of the candlestick. These levels are seen as areas that price needs to go back to at some point to re-balance the imbalance. These levels can add confluence to a trade idea.
A table is included that shows the closest devil mark for each time frame.
Devil Marks should show until that level is mitigated by price trading at that level.
369 Candle Highlighter - Customizable. [V1]The final 3/6/9 Candle Highlighter is a TradingView indicator that scans each candle’s time in a user-selected timezone, calculates the sum of all digits in the hour and minute, reduces that sum to a single digit, and highlights the candle in a chosen color with customizable transparency whenever the result equals 3, 6, or 9. Users can select their timezone, pick the highlight color, adjust transparency, enable optional tiny wicks above or below the candle, turn on alerts with custom messages for each number, and activate a debug mode that shows the reduced digit and candle time. This ensures that only the correctly calculated 3/6/9 candles are visually marked on the chart while allowing full customization for aesthetics, performance, and alerting preferences.
Zay Gwet AlertEMA 9, VWAP and ORB 15 minutes alert in Burmese. When the market across the EMA 9 will give alert to buy or sell. And when the market across the VWAP and ORB 15 will alert as well. Especially for Burmese community as it is in Burmese language.
Nifty vs Nifty Fut Premium indicator This indicator compares Nifty Spot and Nifty Futures prices in real-time, displaying the premium (or discount) between them at the top of the pane.
Trading applications:
Arbitrage opportunities: When the premium becomes unusually high or low compared to fair value (based on cost of carry), traders can exploit the mispricing through cash-futures arbitrage
Market sentiment: A rising premium often indicates bullish sentiment as traders are willing to pay more for futures, while a declining or negative premium suggests bearish sentiment
Rollover strategy: Near expiry, monitoring the premium helps traders decide optimal timing for rolling positions from current month to next month contracts
Risk assessment: Sudden spikes in premium can signal increased demand for leveraged long positions, potentially indicating overbought conditions or strong momentum
ADAM Projection - Efficiency Ratio Adaptive)Overview
The ADAM Projection is a visualization of how a price path might extend from its recent motion, expressed as a continuation (trend reflection) or anti-trend (mean reversion) pattern. This indicator expands upon Jim Sloman’s original ADAM projection—introduced in “The Adam Theory of Markets or What Matters Is Profit” (1983)—by adding a modern quantitative framework for Efficiency Ratio (ER) weighting, time-scaled path normalization, and smooth blending between continuation and anti-trend projections.
What Is the ADAM Theory?
Jim Sloman’s original ADAM projection was designed to model pure trend continuation. He proposed that every market motion could be mirrored around a central anchor price (the “Adam line”), effectively reflecting past price movements forward in time to visualize what a continuation of the same geometric path would look like. This reflection concept captured the idea that market structure exhibits self-similarity and that price trends often extend symmetrically beyond recent pivots.
How This Script Extends It
This version generalizes Sloman’s concept by introducing an adjustable blend between continuation (reflection) and anti-trend (forward paste) behavior, weighted by an adaptive ER domain.
Anchor Axis
The reflection axis (anchorPrice) can be Close, HL2, HLC3, or OHLC4.
The projection is drawn forward from this anchor for a user-defined horizon (len bars).
Dual Paths
Continuation (Reflection): Mirrors historical closes across the anchor.
Anti-trend (Forward Paste): Extends historical closes directly forward without inversion.
Efficiency Ratio (ER)
The Efficiency Ratio measures how directional recent price movement has been: ER = |Net Change| / Σ|Δi|
Values near +1 indicate strong directionality (favoring continuation); values near 0 indicate noise or consolidation (favoring anti-trend behavior).
Signed ER Normalization
ER values are mapped into a user-defined domain between erMin and erMax, with:
erSharp (γ) controlling the steepness of the blend curve
erFloor providing stability when ER ≈ 0
beta (β) weighting volatility across time (β = 0.5 approximates √time scaling)
Blended Projection
Each projected point is a weighted combination of the two paths: y_proj = (1 − w) * y_fade + w * y_cont
The blend factor w is derived from the normalized ER domain and gamma shaping, producing a smooth morph between the anti-trend and continuation geometries.
Visualization
The teal projection line shows the dynamically blended continuation/anti-trend forecast for the next len bars.
The gray anchor line marks the reflection axis.
Each segment adapts in real time based on ER magnitude and recent path structure.
Key Parameters
Core: len, anchorPrice, lineThin — projection horizon and appearance
Lines: showProj, colProj — show or recolor projection
ER Domain: erMin, erMax, erSharp, erFloor, beta — control domain scaling, shaping, and time weighting
Practical Use
High ER values emphasize continuation (trend-following behavior).
Low or negative ER values emphasize fading or mean reversion.
The projection helps visualize whether recent structure supports trend persistence or weakening.
Interpretation
The ADAM Projection is not a predictive indicator but a geometric tool for studying market symmetry and efficiency. It provides a structured way to visualize how recent movements would look if extended forward under both continuation and anti-trend assumptions. This blends Sloman’s original reflection concept with modern ER-based adaptivity.
Summary
Origin: Jim Sloman (1983) — trend continuation via reflection symmetry.
Extension: Adds ER-driven blending to model both continuation and anti-trend regimes.
Concept: Price reflection vs. direct forward extension.
Purpose: Study of geometric price symmetry and efficiency, not a trade signal.
Machine Learning Price Predictor: Ridge AR [Bitwardex]🔹Machine Learning Price Predictor: Ridge AR is a research-oriented indicator demonstrating the use of Regularized AutoRegression (Ridge AR) for short-term price forecasting.
The model combines autoregressive structure with Ridge regularization , providing stability under noisy or volatile market conditions.
The latest version introduces Bull and Bear signals , visually representing the current momentum phase and model direction directly on the chart.
Unlike traditional linear regression, Ridge AR minimizes overfitting, stabilizes coefficient dynamics, and enhances predictive consistency in correlated datasets.
The script plots:
Fit Line — in-sample fitted data;
Forecast Line — out-of-sample projection;
Trend Segments — color-coded bullish/bearish sections;
Bull/Bear Labels 🐂🐻 — dynamic visual signals showing directional bias.
Designed for researchers, students, and developers, this tool helps explore regularized time-series forecasting in Pine Script™.
🧩 Ridge AR Settings
Training Window — number of bars used for model training;
Forecast Horizon — forecast length (bars ahead);
AR Order — number of lags used as features;
Ridge Strength (λ) — regularization coefficient;
Damping Factor — exponential trend decay rate;
Trend Length — period for trend/volatility estimation;
Momentum Weight — strength of the recent move;
Mean Reversion — pullback intensity toward the mean.
🧮 Data Processing
Prefilter:
None — raw close price;
EMA — exponential smoothing;
SuperSmoother — Ehlers filter for noise reduction.
EMA Length, SuperSmoother Length — smoothing parameters.
🖥️ Display Settings
Update Mode:
Lock — static model;
Update Once Reached — rebuild after forecast horizon;
Continuous — update every bar.
Forecast Color — projection line color;
Bullish/Bearish Colors — colors for trend segments.
🐂🐻 Bull/Bear Signal System
The Bull/Bear Signal System adds directional visual cues to highlight local momentum shifts and model-based trend confirmation.
Bull (🐂) — appears when upward momentum is confirmed (momentum > 0) .
Displayed below the bar, colored with Bullish Color.
Bear (🐻) — appears when downward momentum is dominant (momentum < 0) .
Displayed above the bar, colored with Bearish Color.
Signals are generated during model recalculations or when the directional bias changes in Continuous mode.
These visual markers are analytical aids , not trading triggers.
🧠 Core Algorithmic Components
Regularized AutoRegression (Ridge AR):
Solves: (X′X+λI)−1X′y
to derive stable regression coefficients.
Matrix and Pseudoinverse Operations — implemented natively in Pine Script™.
Prefiltering (EMA / Ehlers SuperSmoother) — stabilizes noisy data.
Forecast Dynamics — integrates damping, momentum, and mean reversion.
Trend Visualization — color-coded bullish/bearish line segments.
Bull/Bear Signal Engine — visualizes real-time impulse direction.
📊 Applications
Academic and educational purposes;
Demonstration of Ridge Regression and AR models;
Analysis of bull/bear market phase transitions;
Visualization of time-series dependencies.
⚠️ Disclaimer
This script is provided for educational and research purposes only.
It does not provide trading or investment advice.
The author assumes no liability for financial losses resulting from its use.
Use responsibly and at your own risk.






















