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The R package gamlss.dist contains more than 70 distributions. We are refer to those distribution as “gamlss.family” distribution 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.

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