Geodesic
On large deviations of a sum of independent random variables with rapidly decreasing distribution tails
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 491 (2020), pp. 86-89

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Given a sum of a finite number of independent random variables, the asymptotic behavior of its distributions and densities at infinity is investigated in the case when the densities or tails of these distributions decrease faster than the densities or tails of gamma distributions.
Keywords: independent random variables, large deviations, rapidly decreasing tails. 
@article{DANMA_2020_491_a17,
     author = {L. V. Rozovskii},
     title = {On large deviations of a sum of independent random variables with rapidly decreasing distribution tails},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {86--89},
     publisher = {mathdoc},
     volume = {491},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_491_a17/}
}
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L. V. Rozovskii. On large deviations of a sum of independent random variables with rapidly decreasing distribution tails. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 491 (2020), pp. 86-89. http://geodesic.mathdoc.fr/item/DANMA_2020_491_a17/