# 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.

### See Also

`gamlss.family`

### Examples

1 2 3 4 5 6 7 8 | ```
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)
``` |