Cdf.Logistic Method

CdfLogistic Method

Evaluates the logistic cumulative probability distribution function.

Namespace: Imsl.Stat
Assembly: ImslCS (in ImslCS.dll) Version: 6.5.2.0

Syntax

public static double Logistic(
	double x,
	double mu,
	double s
)

Public Shared Function Logistic ( 
	x As Double,
	mu As Double,
	s As Double
) As Double

public:
static double Logistic(
	double x, 
	double mu, 
	double s
)

static member Logistic : 
        x : float * 
        mu : float * 
        s : float -> float

Parameters

x: Type: SystemDouble
A double scalar value representing the argument at which the function is to be evaluated.
mu: Type: SystemDouble
A double scalar value representing the location parameter, $\mu$ .
s: Type: SystemDouble
A double scalar value representing the scale parameter.

Return Value

Type: Double
A double scalar value representing the probability that a logistic random variable takes a value less than or equal to x.

Remarks

Method Cdf.Logistic evaluates the distribution function, F, of a logistic random variable with location parameter $\mu$ and scale parameter s. It is given by

$F(x,\mu,s)=\frac{1}{1+e^{-(x-\mu)/s}}$

where

Reference

Cdf Class

Imsl.Stat Namespace