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Probabilities.GumbelCDFInv Function
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Gumbel distribution point percent function (PPF).

Pascal
function GumbelCDFInv(p: double; Mu: double; beta: double; minimum: boolean): double; overload;
File
Parameters
Parameters 
Description 
p 
Probability, real positive value on closed interval [0,1]. 
Mu 
Defines the location parameter. 
beta 
Defines the scale parameter, positive real value. 
minimum 
Defines maximum or minimum Gumbel distrubution. If true, th routine calculates minimum Gumbel PDF If false, the routine calculates maximum Gumbel PDF. 
Returns

the Gumbel distribution point percent function (PPF) for probability p using the parameters Mu and beta. Parameter beta must be positive, otherwise the result is NAN.

Description

The inverse Gumbel cumulative distribution function is defined by the following equation: 

 

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