| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1154576 | Statistics & Probability Letters | 2008 | 6 Pages |
Abstract
In this paper we provide explicit formulas for the moments of all orders of NmNm, the number of renewals in [0,m][0,m] of discrete-time renewal processes. We decompose the sample space of the process, and the formulas are obtained using combinatorial methods. We obtain explicit formulas for the kkth order moments E[Nmk] in this manner, and we also provide asymptotic results in both the transient and recurrent cases.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Geoffrey W. Brown,