# Technical Studies Reference

### Weighted Average Oscillator

This study calculates and displays a Weighted Average Oscillator of the data specified by the Input Data Input.

Let $$X$$ be a random variable denoting the Input Data Input, and let the Fast Average Length and Slow Average Length Inputs be denoted as $$n_F$$ and $$n_S$$, respectively. Then we denote the Weighted Average Oscillator at Index $$t$$ for the given Inputs as $$WAO_t(X,n_F,n_S)$$, and we compute it for $$t \geq \max\{n_S,n_F\}$$ in terms of Weighted Moving Averages as follows.

$$WAO_t(X,n_F,n_S) = WMA_t(X,n_F) - WMA_t(X,n_S)$$