The probability function of a geometric Poisson distribution
G Özel, C Inal - Journal of Statistical Computation and Simulation, 2010 - Taylor & Francis
G Özel, C Inal
Journal of Statistical Computation and Simulation, 2010•Taylor & FrancisThe 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.
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.
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.
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