PHP Class MathPHP\Probability\Distribution\Continuous\Logistic

Inheritance: extends Continuous

Show file Open project: markrogoyski/math-php

Public Methods

Method	Description
CDF ( number $x, number $μ, number $s ) : float	Cumulative distribution function From -∞ to x (lower CDF)
PDF ( number $x, number $μ, number $s ) : float	Probability density function
inverse ( number $p, $params ) : number	Inverse CDF (quantile function)
mean ( number $μ, number $s ) : μ	Mean of the distribution

1 f(x; μ, s) = ------------------- x - μ \ 1 + exp| - ----- | \ s /

public static CDF ( number $x, number $μ, number $s ) : float
$x	number
$μ	number	location parameter
$s	number	scale parameter
return	float

x - μ \ exp| - ----- | \ s / f(x; μ, s) = ----------------------- / x - μ \ \ ² s| 1 + exp| - ----- | | \ \ s / /

public static PDF ( number $x, number $μ, number $s ) : float
$x	number
$μ	number	location parameter
$s	number	scale parameter > 0
return	float

p \ Q(p;μ,s) = μ + s ln| ----- | \ 1 - p /

public static inverse ( number $p, $params ) : number
$p	number
return	number

μ = μ

public static mean ( number $μ, number $s ) : μ
$μ	number	location parameter
$s	number	scale parameter
return	μ