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Probabilities.CauchyCDFInv Function

Cauchy distribution point percent function (PPF).

Pascal
function CauchyCDFInv(p: double; m: double; b: double): double; overload;
Parameters 
Description 
Probability, real positive value on closed interval [0,1]. 
Location parameter, real value. 
Shape parameter, real positive value. 

the Cauchy distribution point percent function (PPF) for given parameters b and m.

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

 

The result of CauchyCDFInv is the solution of the integral equation of the Cauchy CDF with parameters b and m and with the desired probability p.

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