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MathPHP
Probability
Distribution
Continuous
Pareto
PHP Class MathPHP\Probability\Distribution\Continuous\Pareto
Inheritance:
extends
Continuous
Datei anzeigen
Open project: markrogoyski/math-php
Public Methods
Method
Description
CDF
(
number
$x
,
number
$a
,
number
$b
) :
number
Cumulative distribution function
PDF
(
number
$x
,
number
$a
,
number
$b
) :
number
Probability density function
mean
(
number
$a
,
number
$b
) :
number
Mean of the distribution
Method Details
CDF()
public
static
method
b \ᵃ D(x) = 1 - | - | for x ≥ b \ x / D(x) = 0 for x < b
public
static
CDF
(
number
$x
,
number
$a
,
number
$b
) :
number
$x
number
$a
number
shape parameter
$b
number
scale parameter
return
number
PDF()
public
static
method
abᵃ P(x) = ---- for x ≥ b xᵃ⁺¹ P(x) = 0 for x < b
public
static
PDF
(
number
$x
,
number
$a
,
number
$b
) :
number
$x
number
$a
number
shape parameter
$b
number
scale parameter
return
number
mean()
public
static
method
μ = ∞ for a ≤ 1 ab μ = ----- for a > 1 a - 1
public
static
mean
(
number
$a
,
number
$b
) :
number
$a
number
shape parameter
$b
number
scale parameter
return
number