The probability function of a geometric Poisson distribution
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, cilt.80, sa.5, ss.479-487, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 80 Sayı: 5
- Basım Tarihi: 2010
- Doi Numarası: 10.1080/00949650802711925
- Dergi Adı: JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.479-487
- Anahtar Kelimeler: geometric Poisson distribution, compound Poisson distribution, Polya-Aeppli distribution, integer partitions, Oracle database
- Hacettepe Üniversitesi Adresli: Evet
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.