Geodesic
Sufficient conditions for the subexponential property of the convolution of two distributions
Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 778-781 Cet article a éte moissonné depuis la source Math-Net.Ru

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Conditions on the distributions of two independent nonnegative random variables $X$ and $Y$ are given for the sum $X+Y$ to have a subexponential distribution, i.e., $(1-F^{(2*)}(t))/(1-F(t))\to2$ as $t\to+\infty$, where $F(t)=\mathsf P\{X+Y\le t\}$ and $F^{(2*)}(t)$ is the convolution of $F(t)$ with itself. 
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     title = {Sufficient conditions for the subexponential property of the convolution of two distributions},
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A. L. Yakymiv. Sufficient conditions for the subexponential property of the convolution of two distributions. Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 778-781. http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a11/

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