PowerExponentialPower: The Power Exponential Power Distribution

Description Usage Arguments Details References Examples

Description

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

Usage

1
2
3
4
5
6
7
8
9
dpexpow(x, lambda = 1, mu = 0, sigma = 1, k = 0, log = FALSE)

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

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

rpexpow(n, lambda = 1, mu = 0, sigma = 1, k = 0)

Arguments

x, q

vector of quantiles.

mu, sigma

location and scale parameters.

k, lambda

shape parameters.

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 power exponential power distribution has density

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

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

References

Lemonte A. and Bazán J.L.

Examples

1
2
3
4
dpexpow(1, 1, 3, 4, 1)
ppexpow(1, 1, 3, 4, 1)
qpexpow(0.2, 1, 3, 4, 1)
rpexpow(5, 2, 3, 4, 1)

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