Generalized poisson random variate generation

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7 Scopus citations


The generalized Poisson distribution has been used in many areas of study such as engineering, manufacturing, survival analysis, genetic, queuing and branching processes. This paper presents some methods of sampling from the generalized Poisson distribution. The inversion algorithm is compared with two distribution-specific methods. For low parameter values, the inversion method seems to be faster than both the distribution-specific methods. The paper also considers the use of normal approximation for the generalized Poisson distribution when parameter θ ≥ 10.

Original languageEnglish
Pages (from-to)219-237
Number of pages19
JournalAmerican Journal of Mathematical and Management Sciences
Issue number3-4
StatePublished - 1997


  • Branching method
  • Generalized Poisson sampling
  • Inverse transform method
  • Normal approximation
  • Rejection method


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