Generalizations of the Arithmetic Case of Blackwell's Renewal Theorem
Statistics and Probability Letters
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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.
Binomial moment; Blackwell's theorem; Number of renewals; Renewal process; Summation by parts
Generalizations of the Arithmetic Case of Blackwell's Renewal Theorem.
Statistics and Probability Letters, 149