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The R package gamlss.dist contains more than 90 distributions. We are refer to those distributions as “gamlss.family” distributions a name also given to the equivalent R objects. Each of those “gamlss.family” distributions has five related functions:

  •  the probability density function (d)
  • the cumulative distribution function (p)
  • the inverse of the cumulative distribution function and (q)
  • a function which generates random numbers from the distribution  (r) and
  • the fitting gamlss function [what the gamlss() function uses for fitting]
The type of distribution to use depends on the type of the response variable. Within the  gamlss.family there are three distinct types of distributions:
  1.  continuous distributions
  2. discrete distributions
  3. mixed distributions

All the distributions in gamlss.family are shown in this  distribution table. In addition any gamlss.family distribution can be:

  • truncated  using  the function gen.trun() of the package gamlss.tr
  • censored  using  the function gen.cens() of the package gamlss.cens 
  • finite mixed using  the package gamlss.mx 

Also any continuous distribution defined on real line can be log or logit transformed using the function gen.Family().