# Technical Studies Reference

### Force Index Average

This study calculates and displays an Exponential Moving Average of the Force Index.

Let $$FI$$ be a random variable denoting the Force Index, and let the Input Moving Average Length be denoted as $$n$$. Then we denote the Force Index Average at Index $$t$$ for the given Input as $$\overline{FI}_t(n)$$, and we compute it for $$t \geq n$$ as follows.

$$\overline{FI}_t(n) = EMA_t(FI,n)$$