Pareto {SoPhy} | R Documentation

## The Pareto Distribution

### Description

Density, distribution function, quantile function and random generation for the Pareto distribution with form parameter `xi` and scale parameter `s`

### Usage

    ppareto(q, xi, s=1, lower.tail=TRUE)

    dpareto(x, xi, s=1)

    qpareto(p, xi, s=1, lower.tail=TRUE)

    rpareto(n, xi, s=1)

### Arguments

`xi` | form parameter of the Pareto distribution
`s` | scale parameter of the Pareto distribution
`lower.tail` | logical; if `TRUE` (default), probabilities are P[X <= x], otherwise, `P[X > x]`
`q` | vector of quantiles
`x` | vector of quantiles
`p` | vector of probabilities
`n` | number of observations. If `length(n) > 1`, the length is taken to be the number required.

### Value

`dpareto` gives the density, `ppareto` gives the distribution function, `qpareto` gives the quantile function, and `rpareto` generates random deviates.

### Author(s)

Martin Schlather, schlath@hsu-hh.de http://www.unibw-hamburg.de/WWEB/math/schlath/schlather.html

### References

Embrechts, P., Klueppelberg, C. and Mikosch, T. (1997) Modelling Extremal Events. Springer: Berlin.

[Package SoPhy version 1.0.28 Index]