FUNCTION
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)
or
$$P(x) = \frac{\Gamma(\alpha + \beta)}{\Gamma(\alpha) \Gamma(\beta)} (1-x)^{\beta-1} x^{\alpha-1}$$
(2)
\graph x=0:1 a=1:3:3 b=1:3:3 .height=300
Parameters
x
the value at which to evaluate the function, must be in range 0..1
a
the 1st shape parameter, must be strictly positive
b
the 2nd shape parameter, must be strictly positive
Interactive Calculator
x
a
b
Result
Computing…
Set a range above first to export a graph.
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