Technical Studies Reference

Rate of Change - Points

This study calculates and displays the Incremental Change of the data specified by the Input Data Input over a period specified by the Length Input.

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 Rate of Change - Points at Index $$t$$ for the given Inputs as $$\Delta X_t(n)$$, and we compute it for $$t \geq n$$ as follows.

$$\Delta X_t(n) = X_t - X_{t - n}$$