Adaptive Autonomous Recursive Moving Average

The Adaptive Autonomous Recursive Moving Average indicator provides a noise-filtering solution that minimizes lag during trending phases while remaining stationary during lateral market movement. By incorporating recursive logic and efficiency-based smoothing, the tool aims to offer a cleaner signal compared to traditional moving averages.

Usage

The Usage section describes how the script can be used to identify market trends and filter out range-bound noise. The primary output is a color-coded line that follows the price action based on volatility and trend strength.

• Trend Identification: When the line turns green and moves upward, it indicates a bullish trend. Conversely, when the line turns red and moves downward, it suggests a bearish trend.
• Filtering Ranges: During flat market periods, the indicator is designed to remain horizontal, preventing premature entries or "whipsaws."
• Sensitivity Adjustment: Users can adjust the gamma parameter to increase the threshold for flat market filtering. For example, setting gamma to 3 on a range-bound asset like Intel (INTC) will flatten the indicator more aggressively than a setting of 0.

Details

The A2RMA is an evolution of the recursive moving average (ARMA) concept, specifically designed to address overshoots and undershoots found in simpler recursive filters.

The script utilizes an Efficiency Ratio (ER) to determine the smoothing factor dynamically. This ratio measures the directness of price movement over a specified period. The core logic involves a conditional source calculation where the price must deviate from the previous average by a specific threshold (determined by gamma) to trigger a change in the filter's value. This output is then processed through a double Adaptive Moving Average (AMA) calculation using exponential averaging.

The calculation of d (the filter threshold) is based on the cumulative mean absolute error between the source price and the previous moving average, scaled by the gamma input. This allows the filter to adapt its "flatness" based on historical volatility.

Settings

• Length: Determines the lookback period for the Efficiency Ratio and cumulative calculations. Higher values increase smoothing but may introduce more lag.
• Gamma: Controls the filtering intensity during flat market periods. A value of 0 results in a double-smoothed adaptive moving average, while higher values force the indicator to ignore minor price fluctuations.
• Source: The price data point used for calculations (e.g., Close, Open, HL2).

FAQ

How do I interpret the color changes on the line? A green line indicates the average is rising, suggesting bullish momentum. A red line indicates the average is falling, suggesting bearish momentum.

Why does the line stay flat even when price moves slightly? This is due to the gamma setting. If the price movement does not exceed the calculated volatility threshold, the indicator remains stationary to prevent signal noise during consolidations.

How can I access the Adaptive Autonomous Recursive Moving Average? You can get access on the LuxAlgo Library for charting platforms like TradingView, MetaTrader (MT4/MT5), and NinjaTrader for free.