CodeCogs

Evaluates the PDF of the Beta distribution.

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Interface

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

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

The density of the Beta distribution is defined by

$P(x) = \frac{(1-x)^{\beta-1} x^{\alpha-1}}{B(\alpha, \beta)}$

(1)

$P(x) = \frac{\Gamma(\alpha + \beta)}{\Gamma(\alpha) \Gamma(\beta)} (1-x)^{\beta-1} x^{\alpha-1}$

(2)

\graph x=0:1 a=1:3:3 b=1:3:3 .height=300

the value at which to evaluate the function, must be in range 0..1

the 1st number of degrees of freedom, must be strictly positive

the 2nd number of degrees of freedom, must be strictly positive

Interactive Calculator

Result –