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Evaluates the inverse of the Beta CDF.

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#include <codecogs/statistics/distributions/continuous/beta/cdf_inv.h>

using namespace Statistics::Distributions::Continuous::Beta;

Computes the inverse CDF of the Beta distribution. This is identical to the inverse regularized beta function.

The typical shape of this function is: \graph y=0:1 a=3 b=1:5:5 .size=medium

Given y, this function finds x such that

Beta::CDF( x, a, b ) = y

The routine performs interval halving or Newton iterations to find the root of $betaCDF(x,a,b) - y = 0$

Cephes Math Library Release 2.8: June, 2000

a percentile in the range 0<=x<=1

first shape parameter, a>0

second shape parameter, b>0

the quantile

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Result –