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# Technical Studies Reference

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## Moving Average Crossover

This study displays two moving averages, whose types are chosen by the user with the Inputs **Moving Average Type 1** and **Moving Average Type 2**. By default, both moving averages are Simple Moving Averages. The Inputs **Input Data 1** and **Input Data 2** are denoted as \(X_1\) and \(X_2\), respectively, and the Inputs **Length 1** and **Length 2** of these two moving averages are denoted as \(n_1\) and \(n_2\), respectively.

This study also displays signals to buy (indicated by an "up" arrow) or sell (indicated by a "down" arrow) at chart bar \(t\). The conditions that determine which signal, if any, is displayed are stated below.

An "up" arrow is displayed at chart bar \(t\) if either of the following occurs.

- \(n_1 < n_2\) and the Subgraph of \(MA_t\left(X_1,n_1\right)\) crosses the Subgraph of \(MA_t\left(X_2,n_2\right)\) from below at chart bar \(t\).
- \(n_2 < n_1\) and the Subgraph of \(MA_t\left(X_2,n_2\right)\) crosses the Subgraph of \(MA_t\left(X_1,n_1\right)\) from below at chart bar \(t\).

In each of the above two cases, the tip of the arrow coincides with the bottom of chart bar \(t\).

A "down" arrow is displayed at chart bar \(t\) if either of the following occurs.

- \(n_1 > n_2\) and the Subgraph of \(MA_t\left(X_1,n_1\right)\) crosses the Subgraph of \(MA_t\left(X_2,n_2\right)\) from below at chart bar \(t\).
- \(n_2 > n_1\) and the Subgraph of \(MA_t\left(X_2,n_2\right)\) crosses the Subgraph of \(MA_t\left(X_1,n_1\right)\) from below at chart bar \(t\).

In each of the above two cases, the tip of the arrow coincides with the top of chart bar \(t\).

**Note**: Depending on the setting of the Inputs **Moving Average Types 1** and **2**, the Simple Moving Averages in the above paragraphs could be replaced with Exponential Moving Averages, Linear Regression Moving Averages, Weighted Moving Averages, Wilders Moving Averages, Simple Moving Averages - Skip Zeros, or Smoothed Moving Averages.

*Last modified Friday, 09th June, 2017.