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- W2034184055 abstract "Suppose ${X_1, X_2, cdots}$ are i.i.d. random variables with finite mean $0 < E(X_1) < infty$. If $S_n$ stands for the $n$th partial sum, and ${a(n)}_n$ is a sequence of nonnegative numbers, then $G(x) = sum^infty_{n = 0} a(n)P{S_n leq x}$ is a generalized renewal measure. We investigate the behaviour of $G(x + h) - G(x)$ as $x rightarrow infty$ for ${a(n)}_n$ regularly varying." @default.
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- W2034184055 date "1984-05-01" @default.
- W2034184055 modified "2023-10-16" @default.
- W2034184055 title "A Renewal Theorem of Blackwell Type" @default.
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- W2034184055 doi "https://doi.org/10.1214/aop/1176993305" @default.
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