The probability function of a geometric Poisson distribution


Ozel G. , Inal C.

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, cilt.80, ss.479-487, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 80 Konu: 5
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1080/00949650802711925
  • Dergi Adı: JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
  • Sayfa Sayıları: ss.479-487

Özet

The geometric Poisson (also called Polya-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.