Pareto {rmutil}R Documentation

The Pareto Distribution

Description

These functions provide information about the Pareto distribution with location parameter equal to m and dispersion equal to s. dpareto gives the density, ppareto gives the distribution function, hpareto gives the hazard function.

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)
ppareto(q, m, s)
hpareto(y, m, s)

Arguments

y vector of responses.
q vector of quantiles.
m vector of location parameters.
s vector of dispersion parameters.

Author(s)

J.K. Lindsey

See Also

dexp for the exponential distribution.

Examples

dpareto(5, 2, 1)
ppareto(5, 2, 1)

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