# ReversalPowerT: The Power Reversal Student t Distribution In powdist: Power and Reversal Power Distributions

## Description

Density, distribution function, quantile function and random generation for the power reversal Student t distribution with parameters mu, sigma, lambda and df.

## Usage

 ```1 2 3 4 5 6 7 8 9``` ```drpt(x, lambda = 1, mu = 0, sigma = 1, df, log = FALSE) prpt(q, lambda = 1, mu = 0, sigma = 1, df, lower.tail = TRUE, log.p = FALSE) qrpt(p, lambda = 1, mu = 0, sigma = 1, df, lower.tail = TRUE, log.p = FALSE) rrpt(n, lambda = 1, mu = 0, sigma = 1, df) ```

## Arguments

 `x, q` vector of quantiles. `lambda` shape parameter. `mu, sigma` location and scale parameters. `df` degrees of freedom (> 0, maybe non-integer). df = Inf is allowed. `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 reversal power Student t distribution has density

f(x)=[λ/σ][f((x-μ)/σ)][F((x-μ)/σ)] ^(λ-1),

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

## Examples

 ```1 2 3 4``` ```drpt(1, 1, 3, 4, 1) prpt(1, 1, 3, 4, 1) qrpt(0.2, 1, 3, 4, 1) rrpt(5, 2, 3, 4, 1) ```

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