R: Generalized Logistic Distribution

Generalized Logistic {rmutil} | R Documentation

## Generalized Logistic Distribution

### Description

These functions provide information about the generalized logistic distribution with location parameter equal to `m`, dispersion equal to `s`, and family parameter equal to `f`: density, cumulative distribution, quantiles, log hazard, and random generation.

The generalized logistic distribution has density

f(y) = f sqrt(3) exp(-sqrt(3) (y-m)/(s pi))/ (s pi (1+exp(-sqrt(3) (y-m)/(s pi)))^(f+1))

where m is the location parameter of the distribution, s is the dispersion, and f is the family parameter.

f=1 gives a logistic distribution.

### Usage

    dglogis(y, m=0, s=1, f=1, log=FALSE)
    pglogis(q, m=0, s=1, f=1)
    qglogis(p, m=0, s=1, f=1)
    rglogis(n, m=0, s=1, f=1)

### Arguments

`y` | vector of responses.
`q` | vector of quantiles.
`p` | vector of probabilities
`n` | number of values to generate
`m` | vector of location parameters.
`s` | vector of dispersion parameters.
`f` | vector of family parameters.
`log` | if TRUE, log probabilities are supplied.

### Author(s)

J.K. Lindsey

### See Also

`dlogis` for the logistic distribution.

### Examples

    dglogis(5, 5, 1, 2)
    pglogis(5, 5, 1, 2)
    qglogis(0.25, 5, 1, 2)
    rglogis(10, 5, 1, 2)

[Package rmutil version 1.1.3 Index]