Technical Studies Reference


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.

\(\displaystyle{\mathrm{sum}_t(X,n) = \sum_{i = t - n + 1}^tX_i}\)

For an explanation of the Sigma (\(\Sigma\)) notation for summation, refer to our description here.

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.

Summation_Periodic.232.scss


*Last modified Friday, 09th February, 2018.