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A new approach on the renewal process with Geometric interarrival times
| Content Provider | Semantic Scholar |
|---|---|
| Author | Samimi, Hossein Mohammadi, Mohammad |
| Copyright Year | 2013 |
| Abstract | ABSTRACT: This paper develops the probability of a renewal process, whose interarrival are independent and identically distributed (i.i.d.) random variables (R.V.s) with geometric distribution. The distribution of the number of renewals in (0,t] and the joint distribution of the number of renewals in (0,a] and [a,b], 0 < a < b, are obtained. Then, using the joint distribution, the distribution of the number of renewals in [a,b], 0 < a < b, is obtained. Finally, we show that every renewal processes, whose interarrivals are i.i.d. discrete R.V.s, has independent and stationary increment if and only if its interarrivals be geometric distribution. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://irjabs.com/files_site/paperlist/r_868_130514113924.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
