R: Pareto Distribution

Pareto {rmutil} | R Documentation

## Pareto Distribution

### Description

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

The Pareto distribution has density

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

where m is the mean parameter of the distribution and s is the dispersion.

This distribution can be obtained as a mixture distribution from the exponential distribution using a gamma mixing distribution.

### Usage

    dpareto(y, m, s, log=FALSE)
    ppareto(q, m, s)
    qpareto(p, m, s)
    rpareto(n, m, s)

### 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

`dexp` for the exponential distribution.

### Examples

    dpareto(5, 2, 2)
    ppareto(5, 2, 2)
    qpareto(0.9, 2, 2)
    rpareto(10, 2, 2)

[Package rmutil version 1.1.3 Index]