power exponential {rmutil}R Documentation

The power exponential Distribution

Description

These functions provide information about the power exponential distribution with mean parameter equal to m, dispersion equal to s, and family parameter equal to f. dpowexp gives the density, ppowexp gives the distribution function.

The power exponential distribution has density

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

where m is the mean of the distribution, s is the dispersion, and f is the family parameter. f=1 yields a normal distribution, f=0.5 a Laplace distribution, and f=Inf a uniform distribution.

Usage

dpowexp(y, m=0, s=1, f=1)
ppowexp(q, m=0, s=1, f=1)

Arguments

y vector of responses.
q vector of quantiles.
m vector of means.
s vector of dispersion parameters.
f vector of family parameters.

Author(s)

J.K. Lindsey

Examples

dpowexp(5, 5, 1, 2)
ppowexp(5, 5, 1, 2)

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