Some Results on Renewal process with Erlang Interarrival Times

被引：0
|
作者：
Varsei, A. [1 ]
Samimi, H. [1 ]
机构：
[1] Univ Guilan, Dept Math, Fac Sci, Rasht, Iran
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2009年 / 4卷 / 01期
关键词：
Renewal Process; Independent Increment; Stationary Increment; Erlang Distribution;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper develops the probability functions of a renewal process, whose interarrival times are independent and identically distributed (i.i.d.) random variables with Erlang distribution. The results are obtained and proved through relation between Poisson and Erlang and between Beta and Binomial distributions. The distribution of the number of renewals in A = [a,b), 0 <= a < b, and its expectation and their numerical values are given in the form of tables. An example is presented, to show the application.
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页码：88 / 97
页数：10
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