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Technical Studies Reference


This study calculates and displays the TRIX study.

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 Length be denoted as \(n\). Then we denote the value of TRIX at Index \(t\) for the given Inputs as \(TRIX_t(X,n)\), and we compute it using the following sequence of Exponential Moving Averages for the given Inputs.

\(EMA_t^{(1)}(X,n) = EMA_t(X,n)\)
\(EMA_t^{(2)}(X,n) = EMA_t(EMA(X,n),n)\)
\(EMA_t^{(3)}(X,n) = EMA_t(EMA(EMA(X,n),n),n)\)

In the above relations, \(EMA_t^{(j)}\) denotes the \(j-\)fold composition of the \(EMA\) function with itself, and \(EMA(X,n)\) is a random variable denoting the Exponential Moving Average of Length \(n\) for the Input Data \(X\). We compute \(TRIX_t(X,n)\) in terms of these Exponential Moving Averages for \(t \geq 3n - 2\) as follows.

\(TRIX_t(X,n) = \displaystyle{100 \cdot \frac{EMA_t^{(3)}(X,n) - EMA_{t - 1}^{(3)}(X,n)}{EMA_{t - 1}^{(3)}(X,n)}}\)


The spreadsheet below contains the formulas for this study in Spreadsheet format. Save this Spreadsheet to the Data Files Folder.

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*Last modified Monday, 03rd October, 2022.