R: Hjorth Distribution

Hjorth {rmutil} | R Documentation

## Hjorth Distribution

### Description

These functions provide information about the Hjorth 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 Hjorth distribution has density

f(y) = (1+s y)^(-f/s) exp(-(y/m)^2/2) (y/m^2+f/(1+s y))

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

### Usage

    dhjorth(y, m, s, f, log=FALSE)
    phjorth(q, m, s, f)
    qhjorth(p, m, s, f)
    rhjorth(n, m, s, f)

### 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

### Examples

    dhjorth(5, 5, 5, 2)
    phjorth(5, 5, 5, 2)
    qhjorth(0.8, 5, 5, 2)
    rhjorth(10, 5, 5, 2)

[Package rmutil version 1.1.3 Index]