ON THE PROBABILITY FUNCTION OF FIRST EXIT TIME FOR GENERALIZED POISSON PROCESSES

被引:0
作者
Ozel, Gamze [1 ]
Inal, Ceyhan [1 ]
机构
[1] Hacettepe Univ, Dept Stat, TR-06800 Ankara, Turkey
来源
PAKISTAN JOURNAL OF STATISTICS | 2012年 / 28卷 / 01期
关键词
Neyman type A and B processes; Thomas process; Polya-Aeppli process; First exit time; traffic accidents;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The Neyman type A and B processes, Thomas process and Polya-Aeppli process are used for describing clustered data since the Poisson process is insufficient for clustering of events. In this study, new probability functions and the distribution functions of first exit times are derived for these generalized Poisson processes. Then, an emprical comparison of the proposed probability functions and an application based on traffic accidents in Groningen are given via prepared program in Oracle database.
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页码:27 / 40
页数:14
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