R: The GAMLSS distributions

gamlss.dist-package {gamlss.dist} | R Documentation

## The GAMLSS distributions

### Description

This package contains all distributions to be used for GAMLSS models. Each distributions has its probability function, `d`, its commutative probability function, `p`, the inverse of the commutative probability function, `q`, its random generation function, `r`, and also the `gamlss.family` generating function

### Details

Package: | gamlss.dist
Type: | Package
Version: | 1.5.0
Date: | 2006-12-13
License: | GPL (version 2 or later)

This package is design to be used with the package gamlss but the `d`, `p`, `q` and `r` functions can be used separately.

### Author(s)

Mikis Stasinopoulos <mikis.stasinopoulos@gamlss.org>, Bob Rigby <r.rigby@londonmet.ac.uk> with contributions from Calliope Akantziliotou and Raydonal Ospina <rospina@ime.usp.br>.

Maintainer: Mikis Stasinopoulos <mikis.stasinopoulos@gamlss.org>

### References

Rigby, R. A. and Stasinopoulos D. M. (2005). Generalized additive models for location, scale and shape,(with discussion), Appl. Statist., 54, part 3, pp 507-554.

Stasinopoulos D. M., Rigby R.A. and Akantziliotou C. (2003) Instructions on how to use the GAMLSS package in R. Accompanying documentation in the current GAMLSS help files, (see also http://www.gamlss.org/)

Stasinopoulos D. M. Rigby R.A. (2007) Generalized additive models for location scale and shape (GAMLSS) in R. Journal of Statistical Software, Vol. 23, Issue 7, Dec 2007, http://www.jstatsoft.org/v23/i07.

Stasinopoulos D. M., Rigby R.A., Heller G., Voudouris V., and De Bastiani F., (2017) Flexible Regression and Smoothing: Using GAMLSS in R, Chapman and Hall/CRC.

### See Also

`gamlss.family`

### Examples

    plot(function(y) dSICHEL(y, mu=10, sigma = 0.1 , nu=1 ), from=0, to=30, n=30+1, type="h") # pdf
    # cdf plot
    PPP <- par(mfrow=c(2,1))
    plot(function(y) pSICHEL(y, mu=10, sigma =0.1, nu=1 ), from=0, to=30, n=30+1, type="h") # cdf
    cdf<-pSICHEL(0:30, mu=10, sigma=0.1, nu=1)
    sfun1  <- stepfun(1:30, cdf, f = 0)
    plot(sfun1, xlim=c(0,30), main="cdf(x)")
    par(PPP)

[Package gamlss.dist version 5.0-2 Index]