ExponentialPower: The Exponential Power Distribution

In anyosa/powdist: Power and Reversal Power Distributions

Description

Density, distribution function, quantile function and random generation for the exponential power distribution with parameters mu, sigma and k.

Usage

dexpow(x, mu = 0, sigma = 1, k = 0, log = FALSE)

pexpow(q, mu = 0, sigma = 1, k = 0, lower.tail = TRUE, log.p = FALSE)

qexpow(p, mu = 0, sigma = 1, k = 0, lower.tail = TRUE, log.p = FALSE)

rexpow(n, mu = 0, sigma = 1, k = 0)

Arguments

x, q	vector of quantiles.
mu, sigma	location and scale parameters.
k	shape parameter.
log, log.p	logical; if TRUE, probabilities p are given as log(p).
lower.tail	logical; if TRUE (default), probabilities are P[X ≤ x ], otherwise, P[X > x].
p	vector of probabilities.
n	number of observations.

Details

The Exponential distribution has density

f(x)=[exp(-(x-μ)/σ)/(1+exp(-(x-μ)/σ)))^2],

where -∞<μ<∞ is the location paramether, σ^2>0 the scale parameter and k the shape parameter.

References

Lemonte A. and Bazán J.L.

Examples

dexpow(1, 3, 4, 1)
pexpow(1, 3, 4, 1)
qexpow(0.2, 3, 4, 1)
rexpow(5, 3, 4, 1)

anyosa/powdist documentation built on May 22, 2019, 4:39 p.m.