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# Technical Studies Reference

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### Summation - Periodic

This study calculates and displays a periodic Summation of the data specified by the **Input Data** Input.

Let \(X\) be a random variable denoting the **Input Data**, and let \(X_i\) be the value of the **Input Data** at Index \(i\). Let the **Length** Input be denoted as \(n\). Then we denote the **Summation - Periodic** at Index \(t\) for the given Inputs as \(\mathrm{sum}_t(X,n)\), and we compute it for \(t \geq n - 1\) as follows.

For an explanation of the Sigma (\(\Sigma\)) notation for summation, 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 Friday, 09th February, 2018.