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Technical Studies Reference

Double Stochastic - Bressert

This study calculates and displays a Bressert's Double Stochastic for the Price Data.

Let \(H\), \(L\), and \(C\) be random variables denoting the High, Low, and Close Prices, respectively, and let \(H_t\), \(L_t\), and \(C_t\) be their respective values at Index \(t\). Let \(n_{HL}\), \(n_{MA}\), and \(n_S\) be the High & Low Period Length, Stochastic Exponential Moving Average Length, and Smoothing Length Inputs, respectively. We then execute the first of two Fast %K and Fast %D calculations, which we denote as \(Fast\%K_t^{(1)}(n)\) and \(Fast\%D_t^{(1)}(n,n_{MA})\), respectively. It should be noted that our calculation of Fast% K is slightly different here than it is in the study KD - Fast. See that study for an explanation of the notation used in the following formulas.

\(Fast\%K_t^{(1)}(n_{HL}) = \displaystyle{Fast\%K_t(H,L,C,n) = \left\{ \begin{matrix} 100\cdot\frac{C_t - \min_t(L,n)}{\max_t(H,n) - \min_t(L,n)} & \max_t(H,n) - \min_t(L,n) \neq 0 \\ 0 & \max_t(H,n) - \min_t(L,n) = 0 \end{matrix}\right .}\)

\(Fast\%D_t^{(1)}(n_{HL},n_{MA}) = EMA_t\left(Fast\%K_t^{(1)}(n_{HL}), n_{MA}\right)\)

Note: \(Fast\%D_t^{(1)}(n_{HL},n_{MA})\) is referred to as Double Stochastic (DS) Trigger.

Next we execute the second of two Fast %K and Fast %D calculations, which we denote as \(Fast\%K_t^{(2)}(n_{HL},n_{MA})\) and \(Fast\%D_t^{(2)}(n_{HL},n_{MA})\), respectively.

\(Fast\%K_t^{(2)}(n_{HL},n_{MA}) = Fast\%K_t\left(Fast\%D^{(1)}(n_{HL},n_{MA}), Fast\%D^{(1)}(n_{HL},n_{MA}), Fast\%D^{(1)}(n_{HL},n_{MA}), n_{HL}\right)\)

\(Fast\%D_t^{(2)}(n_{HL},n_{MA}) = EMA_t\left(Fast\%K^{(2)}(n_{HL},n_{MA}), n_{MA}\right)\)

Note: Both of the Fast %D calculations are done using Exponential Moving Averages instead of Simple Moving Averages. There is no Input to change this.

The value of the Double Stochastic - Bressert at Index \(t\) is denoted as \(DS^{(B)}_t(n_{HL},n_{MA},n_S)\), and is found by computing an Exponential Moving Average of this second Fast %D calculation.

\(DS^{(B)}_t(n_{HL},n_{MA},n_S) = EMA_t\left(Fast\%D^{(2)}(n_{HL},n_{MA}), n_S\right)\)

The Subgraph of both the Double Stochastic - Bressert and the DS Trigger are calculated and displayed for \(t \geq 0\).

This study also displays horizontal lines at levels determined by the Upper Line Value and Lower Line Value Inputs.



The spreadsheet below contains the formulas for this study in Spreadsheet format. Save this Spreadsheet to the Data Files Folder.

Open it through File >> Open Spreadsheet.


*Last modified Wednesday, 03rd October, 2018.