R: Levy Distribution

Levy {rmutil} | R Documentation

## Levy Distribution

### Description

These functions provide information about the Levy distribution with location parameter equal to `m` and dispersion equal to `s`: density, cumulative distribution, quantiles, and random generation.

The Levy distribution has density

f(y) = sqrt(s/(2 pi (y-m)^3)) exp(-s/(2 (y-m)))

where m is the location parameter of the distribution and s is the dispersion, and y>m.

### Usage

    dlevy(y, m=0, s=1, log=FALSE)
    plevy(q, m=0, s=1)
    qlevy(p, m=0, s=1)
    rlevy(n, m=0, s=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.
`log` | if TRUE, log probabilities are supplied.

### Author(s)

J.K. Lindsey

### See Also

`dnorm` for the normal distribution and `dcauchy` for the Cauchy distribution, two other stable distributions.

### Examples

    dlevy(5, 2, 1)
    plevy(5, 2, 1)
    qlevy(0.6, 2, 1)
    rlevy(10, 2, 1)

[Package rmutil version 1.1.3 Index]