The probability function of a geometric Poisson distribution

The geometric Poisson (also called Pólya-Aeppli) distribution is a particular case of the compound Poisson distribution. In this study, the explicit probability function of the geometric Poisson distribution is derived and a straightforward proof for this function is given. By means of a proposed al...

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Bibliographic Details
Published in:Journal of statistical computation and simulation 2010-05, Vol.80 (5), p.479-487
Main Authors: Ozel, Gamze, Inal, Ceyhan
Format: Article
Language:English
Subjects:
Algorithms
compound Poisson distribution
Computation
Computer simulation
geometric Poisson distribution
Geometry
integer partitions
Mathematical analysis
Mathematical functions
Mathematical models
Numerical analysis
Oracle database
Poisson distribution
Poisson distributions
Probability distribution
Proving
Pólya-Aeppli distribution
Traffic accidents
Traffic accidents & safety
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Summary:The geometric Poisson (also called Pólya-Aeppli) distribution is a particular case of the compound Poisson distribution. In this study, the explicit probability function of the geometric Poisson distribution is derived and a straightforward proof for this function is given. By means of a proposed algorithm, some numerical examples and an application on traffic accidents are also given to illustrate the usage of the probability function and proposed algorithm.
ISSN:0094-9655
1563-5163
DOI:10.1080/00949650802711925