# ExponentialPower: The Exponential Power Distribution In 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

 ```1 2 3 4 5 6 7``` ```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

 ```1 2 3 4``` ```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.