Geodesic
Asymptotic equivalence of the probabilities of large deviations for sums and maximum of independent random variables
Matematičeskie trudy, Tome 5 (1985), pp. 144-173.

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     author = {I. F. Pinelis},
     title = {Asymptotic equivalence of the probabilities of large deviations for sums and maximum of independent random variables},
     journal = {Matemati\v{c}eskie trudy},
     pages = {144--173},
     publisher = {mathdoc},
     volume = {5},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_1985_5_a10/}
}
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I. F. Pinelis. Asymptotic equivalence of the probabilities of large deviations for sums and maximum of independent random variables. Matematičeskie trudy, Tome 5 (1985), pp. 144-173. http://geodesic.mathdoc.fr/item/MT_1985_5_a10/