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Chikou Span

Description
Inputs
Spreadsheet

Description

Calculates and displays a Chikou Span (aka Lagging Span) of the data specified by the Input Data Input.

Let $X$ be a random variable denoting the Input Data, and let $X_t$ be the value of the Input Data at Index $t$ . Let the Input Chikou Span Length be denoted as $n$ . Let $i$ denote a value of the Index between $0$ and the current Index $t$ . Then we denote the Chikou Span at Index $i$ for the given Inputs as $CS_i(X,n)$ , and we compute it as follows.

$\displaystyle{CS_{i - n}(X,n) = \left\{ \begin{matrix} 0 & 0 \leq i < n \\ X_i & n \leq i \leq t \end{matrix}\right .}$

This is equivalent to the following, more intuitive, formula.

$\displaystyle{CS_i(X,n) = \left\{ \begin{matrix} X_{i + n} & 0 \leq i \leq t - n \\ 0 & t - n < i \leq t \end{matrix}\right .}$

Inputs

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Spreadsheet

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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.

Chikou_Span.195.scss