logistic

The Logistic distribution is an unbounded continuous distribution which is symmetrical about its mean [and shift parameter], alpha. The shape of the Logistic distribution is very much like the Normal distribution, except that the Logistic distribution has broader tails.

The Logistic function is most often used a growth model: for populations, for weight gain, for business failure, etc. The Logistic distribution can be can be used to test for the suitability of such a model, with transformation to get back to the minimum and maximum values for the Logistic function. Occasionally, the Logistic function is used in place of the Normal function where exceptional cases play a larger role.(see Johnson et. al.1)

Sample 

beta = 1; alpha =0

logistic(double beta, double alpha)

Description

Generates a sample of the Logistic distribution.

Parameters

Name

Type

Description

beta

double

the scale parameter > 0

alpha

double

the shift parameter

Result

Type

Description

double

the generated sample


logistic(double beta, double alpha, java.util.Random r)

Description

Generates a sample of the Logistic distribution using the specified random number generator.

Parameters

Name

Type

Description

beta

double

the scale parameter > 0

alpha

double

the shift parameter

r

java.util.Random

the random number generator

Result

Type

Description

double

the generated sample

This document includes content from the Stat::Fit User's Manual. Copyright 2016 Geer Mountain Software Corp.