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Technical Studies Reference

Moving Average - Welles Wilders

This study calculates and displays a Welles Wilders Moving Average of the data specified by the Input Data Input.

Let \(X\) be a random variable denoting the Input Data, and let \(X_t\) be the value of the Input Data at Index \(t\). Let the Input Length be denoted as \(n\). Then we denote the Moving Average - Welles Wilders at Index \(t\) for the given Inputs as \(WWMA_t(X,n)\), and we compute it using the following recursion relation.

For \(t = 0\): \(WWMA_0(X,n) = X_0\)

For \(t > 0\): \(WWMA_t(X,n) =\left\{ \begin{matrix} SZMA_t(X,n) & WMMA_{t-1}(X,n) = 0 \\ WWMA_{t-1}(X,n) + \frac{1}{n}\left(X_t - WWMA_{t-1}(X,n)\right) & WWMA_{t-1}(X,n) \neq 0 \end{matrix}\right .\)

In the above function, \(SZMA_t(X,n)\) refers to Moving Average - Simple Skip Zeros.



The spreadsheet below contains the formulas for this study in Spreadsheet format. Save this Spreadsheet to the Data Files Folder.

Open it through File >> Open Spreadsheet.


*Last modified Tuesday, 27th September, 2022.