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### Moving Average - Hull

This study calculates and displays a Hull Moving Average of the data specified by the **Input Data** Input. This moving average was developed by Alan Hull.

Let \(X\) be a random variable denoting the **Input Data**, and let the Input **Hull Moving Average Length** be denoted as \(n\). Let \(WMA\left(X,\left\lfloor{\frac{n}{2}}\right\rfloor\right)\) and \(WMA(X,n)\) be random variables denoting the Weighted Moving Averages for \(X\) with **Lengths** \(\left\lfloor{\frac{n}{2}}\right\rfloor\) and \(n\), respectively. Then we denote the **Moving Average - Hull** at Index \(t\) for the given Inputs as \(HMA_t(X,n)\), and we compute it for \(t \geq n + \left\lfloor{\sqrt{n} + \frac{1}{2}}\right\rfloor - 1\) as follows.

For an explanation of the floor function (\(\left\lfloor{\space\space}\right\rfloor\)), refer to our description here.

#### Inputs

#### Spreadsheet

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 Wednesday, 23rd May, 2018.