The Truncated Generalized Poisson Distribution and its Estimation

P. C. Consul, Felix Famoye

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19 Scopus citations


A discrete probability model always gets truncated during the sampling process and the point of truncation depends upon the sample size. Also, the generalized Poisson distribution cannot be used with full justification when the second parameter is negative. To avoid these problems a truncated generalized Poisson distribution is defined and studied. Estimation of its parameters by moments method, maximum likelihood method and a mixed method are considered. Some examples are given to illustrate the effect on the parameters’ estimates when a non-truncated GPD is used instead of a truncated GPD.

Original languageEnglish
Pages (from-to)3635-3648
Number of pages14
JournalCommunications in Statistics - Theory and Methods
Issue number10
StatePublished - Jan 1989


  • Lagrange expansion
  • Truncated generalized Poisson distribution
  • estimation
  • maximum likelihood
  • ratio of frequencies


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