PHP Class MathPHP\Probability\Distribution\Continuous\Beta

Inheritance: extends Continuous
Show file Open project: markrogoyski/math-php

Public Methods

Method Description
CDF ( number $x, number $α, number $β ) : float Cumulative distribution function
PDF ( number $x, number $α, number $β ) : float Probability density function
mean ( number $α, number $β ) : number Mean of the distribution

Method Details

CDF() public static method

cdf = Iₓ(α,β)
public static CDF ( number $x, number $α, number $β ) : float
$x number x ∈ (0,1)
$α number shape parameter α > 0
$β number shape parameter β > 0
return float

PDF() public static method

xᵃ⁻¹(1 - x)ᵝ⁻¹ pdf = -------------- B(α,β)
public static PDF ( number $x, number $α, number $β ) : float
$x number x ∈ (0,1)
$α number shape parameter α > 0
$β number shape parameter β > 0
return float

mean() public static method

α μ = ----- α + β
public static mean ( number $α, number $β ) : number
$α number shape parameter α > 0
$β number shape parameter β > 0
return number