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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.

Also refer to the Cumulative Sum of Study study. This may be more appropriate for what you require.

Inputs


*Last modified Monday, 28th June, 2021.