ExponentialPower: The Exponential Power Distribution

Description Usage Arguments Details References Examples

Description

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

Usage

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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

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

powdist documentation built on May 1, 2019, 10:11 p.m.