# Starc Bands

This study calculates and displays Starc Bands for the data specified by the Input Data Input.

Let $$X$$ be a random variable denoting the Input Data, and let the Starc Mov Avg Length, True Range Avg Length, Top Band Multiplier, and Bottom Band Multiplier Inputs be denoted as $$n_S$$, $$n_{TB}$$, $$v_T$$, and $$v_B$$, respectively. Then we denote the Starc Bands at Index $$t$$ for the given Inputs as $$TB^{(Starc)}_t(X,n_S,n_{TR},v_T)$$ (Top Band) and $$BB^{(Starc)}_t(X,n_S,n_{TR},v_B)$$ (Bottom Band), and we compute them for $$t \geq \max\{n_S,n_{TR}\}$$ in terms of a Simple Moving Average and an Average True Range as follows.

Top Band: $$TB^{(Starc)}_t(X,n_S,n_{TR},v_T) = SMA_t(X,n_S) + v_T \cdot ATR_t(n_{TR})$$

Bottom Band: $$BB^{(Starc)}_t(X,n_S,n_{TR},v_B) = SMA_t(X,n_S) - v_B \cdot ATR_t(n_{TR})$$

The band in the middle is the graph of $$SMA_t(X,n_S)$$.

Note: Depending on the setting of the Input Starc Mov Avg Type (Center Line), the Simple Moving Average in each of the above formulas could be replaced with an Exponential Moving Average, a Linear Regression Moving Average, a Weighted Moving Average, a Wilders Moving Average, a Simple Moving Average - Skip Zeros, or a Smoothed Moving Average.

Note: The ATR Mov Avg Type Input determines the Moving Average Type of the Average True Range.