Nearest Percentile Moving Average Bands

The Nearest Percentile Moving Average Bands indicator provides a dynamic volatility range by calculating upper and lower price boundaries based on nearest-rank percentile calculations over a specified lookback period.

Usage

The Usage section describes how the script can be used to identify breakouts and trend strength. By mapping the price distribution over a set period, the indicator helps traders visualize when the market is entering extreme territory.

• Trend Identification: The middle line represents the 50th percentile (median). When the price is above the median and the bands are sloping upward, the market is in a bullish regime. Conversely, price action below the median suggests a bearish regime.
• Volatility Breakouts: The upper and lower bands highlight the "tails" of the price distribution. A price move above the upper band (e.g., the 99th percentile) indicates a significant bullish breakout, signaling that the market is leaving its normal trading range.
• Mean Reversion: If the price remains at extreme percentile levels for an extended period, it may indicate an overextended market, suggesting a high probability of a correction toward the median.
• Visual Cues: The bands change thickness or color intensity based on expansion. If the upper band is rising, it highlights expanding bullish momentum; if the lower band is falling, it highlights expanding bearish momentum.

Details

The script utilizes the ta.percentile_nearest_rank function to determine price levels at specific statistical ranks. Unlike a standard moving average which calculates an arithmetic mean, this method identifies the specific price point that satisfies the percentile requirement within the lookback window.

The indicator calculates a "Middle" line at the 50% rank. The "Up" and "Down" bands are calculated symmetrically based on the user-defined percentile input. For example, if the input is set to 80%, the upper band displays the 80th percentile, while the lower band automatically calculates the 20th percentile (50 - |80 - 50|). The displacement setting allows the entire array of bands to be shifted forward in time, which can help in reducing noise or aligning with specific cycle offsets.

Settings

• NPMA Length: The number of bars used to calculate the price distribution and percentile ranks.
• NPMA Percentile: Determines the sensitivity of the outer bands. Higher values move the bands further from the median, capturing only extreme price movements.
• Displacement: Shifts the plots forward on the horizontal axis by a specified number of bars.

FAQ

How do I interpret the colored highlights on the bands?
The bands become highlighted when they are expanding away from the median. A highlighted green upper band indicates the upper price boundary is moving higher, while a highlighted red lower band indicates the lower price boundary is moving lower.

What is the benefit of using percentiles over standard Bollinger Bands?
Standard deviation-based bands (like Bollinger Bands) assume a normal distribution of price data. Percentile-based bands do not make this assumption and instead use the actual distribution of historical prices, making them more adaptive to non-linear market moves and "fat-tail" events.

How can I access this indicator?
You can get access on the LuxAlgo Library for charting platforms like TradingView, MetaTrader (MT4/MT5), and NinjaTrader for free.