Percentile Nearest Rank Using Arrays

The introduction of the array feature in Pine Script is a game-changer for traders and developers, allowing for more sophisticated operations and enhancing the efficiency of existing calculations. This feature illuminates existing functions like the percentile_nearest_rank. We've partnered with Alex Grover to create a script that computes a rolling percentile using the nearest rank methodology.

Key Features of the Rolling Percentile Indicator

Configurable Settings

• Length: Defines the window for the rolling percentile, i.e., the number of past data points considered in calculations.
• Percentage: Specifies the threshold for the data. It denotes that the current value represents a state where Percentage% of prior data points are below it, adjustable between 0 and 100.
• Src: Sets the input source for the indicator's calculations.

How to Trade Using a Rolling Percentile Indicator?

The rolling percentile indicator is a versatile tool in technical analysis due to its ability to derive significant statistical measures like the rolling median, maximum, and minimum.

• Rolling Median: By setting the percentage to 50, you obtain the rolling median, providing a robust representation of the underlying trend’s direction.
• Rolling Maximum/Minimum: Set the percentage to 100 for a rolling maximum or 0 for a rolling minimum. These configurations help traders identify market trends and their directions. This statistic plays a crucial role in popular indicators like the stochastic oscillator and the Donchian channel.

Additionally, rolling quartiles can be derived: a 25% setting yields the lower quartile, while a 75% setting provides the upper quartile.

In the visual example above, the blue line represents the upper rolling quartile (75%), and the orange line denotes the lower rolling quartile (25%), both computed with a window size of 100.

Detailed Calculation Method

To compute a rolling percentile using the nearest rank:

1. Gather the most recent length of closing prices.
2. Sort these prices in ascending order.
3. Identify the value at the index specified by (percentage/100length) - 1*. (The subtraction by 1 adjusts for zero-based array indexing.)

Frequently Asked Questions (FAQs)

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

What is the primary use of rolling percentiles in trading? Rolling percentiles help in identifying trending markets and potential reversals by analyzing statistically significant points (median, quartiles) within a data window.

Can I customize the settings for better precision? Yes, the indicator allows adjustment of length, percentage, and input source to match your trading strategy and analysis needs.