# GWeibull: Generalized Weibull Distribution In rmutil: Utilities for Nonlinear Regression and Repeated Measurements Models

 Generalized Weibull R Documentation

## Generalized Weibull Distribution

### Description

These functions provide information about the generalized Weibull distribution, also called the exponentiated Weibull, with scale parameter equal to `m`, shape equal to `s`, and family parameter equal to `f`: density, cumulative distribution, quantiles, log hazard, and random generation.

The generalized Weibull distribution has density

f(y) = s f y^(s-1) (1-exp(-(y/m)^s))^(f-1) exp(-(y/m)^s)/m^s

where m is the scale parameter of the distribution, s is the shape, and f is the family parameter.

f=1 gives a Weibull distribution, for s=1, f<0 a generalized F distribution, and for s>0, f<=0 a Burr type XII distribution.

### Usage

```dgweibull(y, s, m, f, log=FALSE)
pgweibull(q, s, m, f)
qgweibull(p, s, m, f)
rgweibull(n, s, m, f)
```

### Arguments

 `y` vector of responses. `q` vector of quantiles. `p` vector of probabilities `n` number of values to generate `m` vector of location parameters. `s` vector of dispersion parameters. `f` vector of family parameters. `log` if TRUE, log probabilities are supplied.

### Author(s)

J.K. Lindsey

`dweibull` for the Weibull distribution, `df` for the F distribution, `dburr` for the Burr distribution.

### Examples

```dgweibull(5, 1, 3, 2)
pgweibull(5, 1, 3, 2)
qgweibull(0.65, 1, 3, 2)
rgweibull(10, 1, 3, 2)
```

rmutil documentation built on March 18, 2022, 6:55 p.m.