Renewal theorems in $R^d$
Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 3, pp. 565-573
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Let $\zeta_n$ be the sum of i. i. d. random vectors. The renewal measure $\displaystyle H(E)=\sum_{n=1}^{\infty}\mathbf P\{\zeta_n\in E\}$ with $E$ being a bounded Borel set is considered. Some results concerning the asymptotic behaviour of $H(E+x)$ as $|x|\to\infty$ are obtained.
@article{TVP_1979_24_3_a9,
author = {A. V. Nagaev},
title = {Renewal theorems in $R^d$},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {565--573},
year = {1979},
volume = {24},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1979_24_3_a9/}
}
A. V. Nagaev. Renewal theorems in $R^d$. Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 3, pp. 565-573. http://geodesic.mathdoc.fr/item/TVP_1979_24_3_a9/