Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 4, Tome 278 (2001), pp. 86-111
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M. S. Ermakov. Probabilities of large deviations in Banach spaces. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 4, Tome 278 (2001), pp. 86-111. http://geodesic.mathdoc.fr/item/ZNSL_2001_278_a4/
@article{ZNSL_2001_278_a4,
author = {M. S. Ermakov},
title = {Probabilities of large deviations in {Banach} spaces},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {86--111},
year = {2001},
volume = {278},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_278_a4/}
}
TY - JOUR
AU - M. S. Ermakov
TI - Probabilities of large deviations in Banach spaces
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2001
SP - 86
EP - 111
VL - 278
UR - http://geodesic.mathdoc.fr/item/ZNSL_2001_278_a4/
LA - ru
ID - ZNSL_2001_278_a4
ER -
%0 Journal Article
%A M. S. Ermakov
%T Probabilities of large deviations in Banach spaces
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 86-111
%V 278
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_278_a4/
%G ru
%F ZNSL_2001_278_a4
A theorem about the exact asymptotics of large derivatives of sums of independent random elements in a Banach space is proved. The results are a version of a Bentkus' and Rachkauskas' theorems.