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Probabilities.BetaPDF Method (double, double, double)
Probabilities Class  Probabilities Members  Dew.Math.Units Namespace  BetaPDF Method  Example  See Also
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Beta probability density function (PDF).

Syntax
C#
Visual Basic
public static double BetaPDF(double x, double a, double b);
Parameters
Parameters 
Description 
double x 
Function domain, real positive value on closed interval [0,1]. 
double a 
Shape parameter, real positive value. 
double b 
Shape parameter, real positive value. 
Returns

the beta distribution probability density function (PDF).

Remarks

Calculates the beta probability density function. The beta probability density function is defined by the following equation: 

 

where B(a,b) is Beta function and it defines the interval on which the beta PDF is not zero. The beta distribution describes a family of curves that are nonzero only on the interval [0,1]. The parameters a and b must both be greater than zero and x must lie on the interval (0,1) otherwise the result is NAN.

See Also
Example

Calculate Beta distribution (a=3 and b= 2.1) PDF and CDF for x =0.55

using Dew.Probability; using Dew.Probability.Units; namespace Dew.Examples { void Example() { double pdf = BetaPDF(0.55, 3.0, 2.1); double cdf = BetaCDF(0.55, 3.0, 2.1); } }
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