Geodesic
On the asymptotic behavior of the convolution of distributions with regularly exponentially decreasing tails
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 28, Tome 486 (2019), pp. 265-274

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In the note the asymptotic behaviour of the tail of distribution and density of a sum of independent random variables is studying in the case when the tails of the distributions (densities) of the summands decrease exponentially at infinity. 
@article{ZNSL_2019_486_a16,
     author = {L. V. Rozovskii},
     title = {On the asymptotic behavior of the convolution of distributions with regularly exponentially decreasing tails},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {265--274},
     publisher = {mathdoc},
     volume = {486},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_486_a16/}
}
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L. V. Rozovskii. On the asymptotic behavior of the convolution of distributions with regularly exponentially decreasing tails. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 28, Tome 486 (2019), pp. 265-274. http://geodesic.mathdoc.fr/item/ZNSL_2019_486_a16/