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Probabilities.GenParetoCDF Method

Generalized Pareto cumulative distribution function (CDF).

Syntax
C#
Visual Basic
public static double GenParetoCDF(double x, double k, double Mu, double sigma);
Parameters 
Description 
double x 
Distribution domain, real value, if k >= 0 valid on open interval (Mu,Inf), if k < 0, valid if 0 <= (x-Mu)/sigma <= -1/k
double k 
Defines distribution shape parameter, real value. 
double Mu 
Defines distribution location parameter, real value. 
double sigma 
Defines distribution scale parameter, positive real value. 

the Generalized Pareto cumulative distribution function (CDF) for value x using the parameters k, Mu and sigma.

Calculates the Generalized Pareto distribution CDF, defined by the equation: 

 

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