Technical Studies Reference

Summation

This study calculates and displays a cumulative 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 $$i$$. Then we denote the Summation at Index $$t$$ for the given Input as $$\mathrm{sum}_t(X)$$, and we compute it for $$t \geq 0$$ as follows.

$$\displaystyle{\mathrm{sum}_t(X) = \sum_{i = 0}^tX_i}$$

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.

*Last modified Wednesday, 03rd January, 2018.