Overload List
| # | Signature | Description |
|---|---|---|
| 1 | void JohnsonSBCDF(TDenseMtxVec X, Double gamma, Double delta, Double Lambda, Double xi, TDenseMtxVec Res) | Johnson bounded (SB) distribution CDF (vectorized). |
| 2 | Double JohnsonSBCDF(Double x, Double gamma, Double delta, Double Lambda, Double xi) | Johnson bounded (S_B) cumulative distribution function (CDF). |
Overload 1: void JohnsonSBCDF(TDenseMtxVec X, Double gamma, Double delta, Double Lambda, Double xi, TDenseMtxVec Res)
Johnson bounded (SB) distribution CDF (vectorized).
| # | Name | Description |
|---|---|---|
| 1 | X | Defines distribution domain, vector or matrix with real values on closed interval [xi,xi+Lambda]. |
| 2 | gamma | Distribution shape parameter, real value. |
| 3 | delta | Distribution shape parameter, real positive value. |
| 4 | Lambda | Distribution scale parameter, real positive value. |
| 5 | xi | Distribution location parameter, real value. |
| 6 | Res | After calculation stores the CDF calculated from X, agmma, delta, Lambda and xi. Length and Complex properties of Res are adjusted automatically to match Length and Complex properties of X. |
Result: stored in self (calling object)
Overload 2: Double JohnsonSBCDF(Double x, Double gamma, Double delta, Double Lambda, Double xi)
Johnson bounded (S_B) cumulative distribution function (CDF).
| # | Name | Description |
|---|---|---|
| 1 | x | Function domain, real value on the closed interval [xi, xi+Lambda]. |
| 2 | gamma | Distribution shape parameter, real value. |
| 3 | delta | Distribution shape parameter, real positive value (delta>0). |
| 4 | Lambda | Distribution scale parameter, real positive value (Lambda>0). |
| 5 | xi | Distribution location parameter, real value. |
Returns: Double - the Johnson bounded (S_B) CDF for shape parameters gamma, delta, scale Lambda and location xi. Returns NaN if Lambda<=0, delta<=0, or x outside [xi, xi+Lambda].
Remarks:
With z=(x-xi)/lambda in (0,1) and Phi the standard normal CDF,
CDF(x | gamma,delta,lambda,xi) = Phi[gamma+deltaln(z/(1-z))] , z=(x-xi)/lambda .
Equivalent to scipy.stats johnsonsb(a=gamma, b=delta, loc=xi, scale=Lambda); monotone non-decreasing on [xi, xi+Lambda]. Returns NaN for Lambda<=0, delta<=0, or x outside the support.