PHP Class MathPHP\Probability\Distribution\Discrete\Geometric

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

Public Methods

Method Description
CDF ( integer $k, float $p ) : float Geometric distribution - cumulative distribution function (lower cumulative)
PMF ( integer $k, float $p ) : float Geometric distribution - probability mass function

Method Details

CDF() public static method

The probability distribution of the number Y = X − 1 of failures before the first success, supported on the set { 0, 1, 2, 3, ... } https://en.wikipedia.org/wiki/Geometric_distribution k failures where k ∈ {0, 1, 2, 3, ...} pmf = 1 - (1 - p)ᵏ⁺¹
public static CDF ( integer $k, float $p ) : float
$k integer number of trials k ≥ 0
$p float success probability 0 < p ≤ 1
return float

PMF() public static method

The probability distribution of the number Y = X − 1 of failures before the first success, supported on the set { 0, 1, 2, 3, ... } https://en.wikipedia.org/wiki/Geometric_distribution k failures where k ∈ {0, 1, 2, 3, ...} pmf = (1 - p)ᵏp
public static PMF ( integer $k, float $p ) : float
$k integer number of trials k ≥ 1
$p float success probability 0 < p ≤ 1
return float