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Returns the area from zero to x under the beta density.

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Interface

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

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

The CDF of the Beta distribution is identical to the regularized beta function:

$CDF(x; a, b) = I(x; a, b) = \frac{B(x; a, b)} {B(a, b)}$

(1)

where $B(x; a, b)$ is the incomplete beta function and $B(a, b)$ is the (complete) beta function.

As an illustration is given below: \graph x=0:1 a=2 b=1:5:5 .size=medium

Cephes Math Library Release 2.8: June, 2000

a quantile in the range of 0<=x<=1

first shape parameter, a >0

second shape parameter, b >0

Interactive Calculator

Result –