OPEN-SOURCE SCRIPT
Updated Student-t Weighted Acceleration & Velocity
⚙️ Student-t Weighted Acceleration & Velocity
Author: © GabrielAmadeusLau
Category: Momentum, Smoothing, Divergence Detection
🔍 Overview
Student-t Weighted Acceleration & Velocity is a precision-engineered momentum indicator designed to analyze the rate of price change (velocity) and rate of change of velocity (acceleration). It leverages Student-t weighted smoothing, bandpass filtering, and divergence detection to reveal underlying momentum trends, shifts, and potential reversals with high sensitivity and low noise.
🧠 Key Features
🌀 1. Student-t Weighted Moving Average
Applies Student-t distribution weights to price data.
Controlled by:
ν (Degrees of Freedom): Lower ν increases weight on recent data, improving sensitivity to fast-moving markets.
Window Length: Sets the lookback period for weighted averaging.
🚀 2. Velocity & Acceleration Calculation
Velocity: Measures how fast price is moving over time.
Acceleration: Measures the change in velocity, revealing turning points.
Both are calculated via:
Butterworth High-pass Filter
Super Smoother Low-pass Filter
Fast Root Mean Square (RMS) normalization
Optionally smoothed using a Super Smoother EMA.
🎯 3. Signal Conditions
Strong Up: When smoothed velocity crosses above the overbought threshold and acceleration is positive.
Strong Down: When smoothed velocity crosses below the oversold threshold and acceleration is negative.
Visual cues:
Green & red triangle shapes for signals.
Colored histogram & column plots.
Optional bar coloring based on A/V behavior.
🔎 4. Divergence Detection Engine
Built-in multi-timeframe divergence system with:
Bullish/Bearish Regular Divergence
Bullish/Bearish Hidden Divergence
Customizable settings:
Pivot detection, confirmation logic, lookback limits.
Heikin Ashi mode for smoothed divergence detection.
Configurable line style, width, and color.
Visual plots of divergence lines on price chart.
⚙️ Custom Inputs
A/V Calculation Parameters:
Lookback period, filter lengths (Butterworth, Super Smoother, RMS), EMA smoothing.
Divergence Settings:
Enable/disable confirmation, show last divergence only.
Adjustable pivot period and max lookback bars.
Heikin Ashi Mode:
Option to use Heikin Ashi candles for divergence detection only (without switching chart type).
Thresholds:
Overbought/Oversold Sigma levels for strong signal detection.
🔔 Alerts Included
Strong Up Alert: Momentum and acceleration aligned bullishly.
Strong Down Alert: Momentum and acceleration aligned bearishly.
All Divergence Types:
Bullish/Bearish Regular Divergence
Bullish/Bearish Hidden Divergence
Aggregated Divergence Alerts
📌 Use Cases
Spot momentum bursts and reversals with confirmation from both velocity and acceleration.
Identify divergence-based signals for early entries/exits.
Apply across multiple timeframes or pair with other trend filters.
Author: © GabrielAmadeusLau
Category: Momentum, Smoothing, Divergence Detection
🔍 Overview
Student-t Weighted Acceleration & Velocity is a precision-engineered momentum indicator designed to analyze the rate of price change (velocity) and rate of change of velocity (acceleration). It leverages Student-t weighted smoothing, bandpass filtering, and divergence detection to reveal underlying momentum trends, shifts, and potential reversals with high sensitivity and low noise.
🧠 Key Features
🌀 1. Student-t Weighted Moving Average
Applies Student-t distribution weights to price data.
Controlled by:
ν (Degrees of Freedom): Lower ν increases weight on recent data, improving sensitivity to fast-moving markets.
Window Length: Sets the lookback period for weighted averaging.
🚀 2. Velocity & Acceleration Calculation
Velocity: Measures how fast price is moving over time.
Acceleration: Measures the change in velocity, revealing turning points.
Both are calculated via:
Butterworth High-pass Filter
Super Smoother Low-pass Filter
Fast Root Mean Square (RMS) normalization
Optionally smoothed using a Super Smoother EMA.
🎯 3. Signal Conditions
Strong Up: When smoothed velocity crosses above the overbought threshold and acceleration is positive.
Strong Down: When smoothed velocity crosses below the oversold threshold and acceleration is negative.
Visual cues:
Green & red triangle shapes for signals.
Colored histogram & column plots.
Optional bar coloring based on A/V behavior.
🔎 4. Divergence Detection Engine
Built-in multi-timeframe divergence system with:
Bullish/Bearish Regular Divergence
Bullish/Bearish Hidden Divergence
Customizable settings:
Pivot detection, confirmation logic, lookback limits.
Heikin Ashi mode for smoothed divergence detection.
Configurable line style, width, and color.
Visual plots of divergence lines on price chart.
⚙️ Custom Inputs
A/V Calculation Parameters:
Lookback period, filter lengths (Butterworth, Super Smoother, RMS), EMA smoothing.
Divergence Settings:
Enable/disable confirmation, show last divergence only.
Adjustable pivot period and max lookback bars.
Heikin Ashi Mode:
Option to use Heikin Ashi candles for divergence detection only (without switching chart type).
Thresholds:
Overbought/Oversold Sigma levels for strong signal detection.
🔔 Alerts Included
Strong Up Alert: Momentum and acceleration aligned bullishly.
Strong Down Alert: Momentum and acceleration aligned bearishly.
All Divergence Types:
Bullish/Bearish Regular Divergence
Bullish/Bearish Hidden Divergence
Aggregated Divergence Alerts
📌 Use Cases
Spot momentum bursts and reversals with confirmation from both velocity and acceleration.
Identify divergence-based signals for early entries/exits.
Apply across multiple timeframes or pair with other trend filters.
Release Notes
...Open-source script
In true TradingView spirit, the creator of this script has made it open-source, so that traders can review and verify its functionality. Kudos to the author! While you can use it for free, remember that republishing the code is subject to our House Rules.
Gabriel Amadeus
The Real World - Stocks Campus:
Stocks, Options, Futures, Forex, Crypto, this is what we trade.
Learn profitable trading systems or build your own, just like I did.
jointherealworld.com/?a=f7jkjpg8kh
The Real World - Stocks Campus:
Stocks, Options, Futures, Forex, Crypto, this is what we trade.
Learn profitable trading systems or build your own, just like I did.
jointherealworld.com/?a=f7jkjpg8kh
Disclaimer
The information and publications are not meant to be, and do not constitute, financial, investment, trading, or other types of advice or recommendations supplied or endorsed by TradingView. Read more in the Terms of Use.
Open-source script
In true TradingView spirit, the creator of this script has made it open-source, so that traders can review and verify its functionality. Kudos to the author! While you can use it for free, remember that republishing the code is subject to our House Rules.
Gabriel Amadeus
The Real World - Stocks Campus:
Stocks, Options, Futures, Forex, Crypto, this is what we trade.
Learn profitable trading systems or build your own, just like I did.
jointherealworld.com/?a=f7jkjpg8kh
The Real World - Stocks Campus:
Stocks, Options, Futures, Forex, Crypto, this is what we trade.
Learn profitable trading systems or build your own, just like I did.
jointherealworld.com/?a=f7jkjpg8kh
Disclaimer
The information and publications are not meant to be, and do not constitute, financial, investment, trading, or other types of advice or recommendations supplied or endorsed by TradingView. Read more in the Terms of Use.