# Technical Studies Reference

- Technical Studies Reference
- Common Study Inputs (Opens a new page)
- Using Studies (Opens a new page)

### TRIX

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.

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

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

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.

#### Inputs

#### 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.