# PowerLaplace: The Power Laplace Distribution In powdist: Power and Reversal Power Distributions

## Description

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

## Usage

 1 2 3 4 5 6 7 8 9 dplaplace(x, lambda = 1, mu = 0, sigma = 1, log = FALSE) pplaplace(q, lambda = 1, mu = 0, sigma = 1, lower.tail = TRUE, log.p = FALSE) qplaplace(p, lambda = 1, mu = 0, sigma = 1, lower.tail = TRUE, log.p = FALSE) rplaplace(n, lambda = 1, mu = 0, sigma = 1)

## Arguments

 x, q vector of quantiles. lambda shape parameter. mu, sigma location and scale 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 Laplace distribution has density

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

## Examples

 1 2 3 4 dplaplace(1, 1, 3, 4) pplaplace(1, 1, 3, 4) qplaplace(0.2, 1, 3, 4) rplaplace(5, 2, 3, 4)

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