# Technical Studies Reference

This study calculates and displays a Move-Adjusted Moving Average of the data specified by the Input Data Input. This moving average is taken from an article entitled "Weight + Volume + Move-Adjusted Moving Average: It's WEVOMO!" by Stephan Bisse in the April 2005 issue of Stocks & Commodities.

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 Moving Average - Move-Adjusted at Index $$t$$ for the given Inputs as $$MOMA_t(X,n)$$, and we compute it for $$t \geq n - 1$$ as follows.

$$\displaystyle{MOMA_t(X,n) = \left\{ \begin{matrix} \frac{\sum_{i = t - n + 1}^t X_i \cdot \left|X_i - X_{i - 1}\right|}{\sum_{i = t - n + 1}^t \left|X_i - X_{i - 1}\right|} & \sum_{i = t - n + 1}^t \left|X_i - X_{i - 1}\right| \neq 0 \\ X_t & \sum_{i = t - n + 1}^t \left|X_i - X_{i - 1}\right| = 0 \end{matrix}\right .}$$

For an explanation of the Sigma ($$\Sigma$$) notation for summation, refer to our description here.