EPd {new.dist}

EP distribution

Description

Density, distribution function, quantile function and random generation for the EP distribution.

Usage

dEPd(x, lambda, beta, log = FALSE)

pEPd(q, lambda, beta, lower.tail = TRUE, log.p = FALSE)

qEPd(p, lambda, beta, lower.tail = TRUE)

rEPd(n, lambda, beta)

Arguments

x, q

vector of quantiles.

lambda, beta

are parameters.

log, log.p

logical; if TRUE, probabilities p are given as log(p).

lower.tail

logical; if TRUE (default), probabilities are P\left[ X\leq x\right], otherwise, P\left[ X>x\right] .

p

vector of probabilities.

n

number of observations. If length(n) > 1, the length is taken to be the number required.

Details

The EP distribution with parameters \lambda and \beta, has density

f\left( x\right) =\frac{\lambda \beta } {\left( 1-e^{-\lambda }\right) } e^{-\lambda -\beta x+\lambda e^{-\beta x}},

where

x>\mathbb{R}_{+},~\beta ,\lambda \in \mathbb{R}_{+}.

Value

dEPd gives the density, pEPd gives the distribution function, qEPd gives the quantile function and rEPd generates random deviates.

References

Kuş, C., 2007, A new lifetime distribution, Computational Statistics & Data Analysis, 51 (9), 4497-4509.

Examples

library(new.dist)
dEPd(1, lambda=2, beta=3)
pEPd(1,lambda=2,beta=3)
qEPd(.8,lambda=2,beta=3)
rEPd(10,lambda=2,beta=3)