Generalizations of the Arithmetic Case of Blackwell's Renewal Theorem
Document Type
Article
Publication Date
2-2-2019
Publication Title
Statistics and Probability Letters
Volume
149
First page number:
124
Last page number:
131
Abstract
Using elementary techniques, for discrete-time renewal processes, we provide asymptotic results for the probability of renewal at time n using the binomial moments of the underlying discrete distribution. Using these results, we also provide an alternative derivation of the asymptotics for the first two moments of the number of renewals up to time n.
Keywords
Binomial moment; Blackwell's theorem; Number of renewals; Renewal process; Summation by parts
Disciplines
Applied Mathematics
Language
English
Repository Citation
Hadjicosta, P.
(2019).
Generalizations of the Arithmetic Case of Blackwell's Renewal Theorem.
Statistics and Probability Letters, 149
124-131.
http://dx.doi.org/10.1016/j.spl.2019.01.031