Pdf.Logistic Method

PdfLogistic Method

Evaluates the logistic probability density 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

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.
s: Type: SystemDouble
A double scalar value representing the scale parameter.

Type: Double
A double scalar value representing the probability density function at x.

Remarks

The probability density function of the logistic distribution is

$f(x,\mu,s)=\frac{e^{-(x-\mu)/s}} {s\left (1+e^{-(x-\mu)/s} \right )^{2}}$

where $\mu$ is the location parameter and the scale parameter $s \gt 0$ .