Geodesic
Sufficient conditions for the subexponential property of the convolution of two distributions
Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 778-781

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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. 
@article{MZM_1995_58_5_a11,
     author = {A. L. Yakymiv},
     title = {Sufficient conditions for the subexponential property of the convolution of two distributions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {778--781},
     publisher = {mathdoc},
     volume = {58},
     number = {5},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a11/}
}
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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/