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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.

Inputs


*Last modified Friday, 08th March, 2019.