Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 5, Tome 294 (2002), pp. 77-87
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V. A. Egorov. An estimate of the tail of the destribution for normolized and self-normolized sums. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 5, Tome 294 (2002), pp. 77-87. http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a5/
@article{ZNSL_2002_294_a5,
author = {V. A. Egorov},
title = {An estimate of the tail of the destribution for normolized and self-normolized sums},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {77--87},
year = {2002},
volume = {294},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a5/}
}
TY - JOUR
AU - V. A. Egorov
TI - An estimate of the tail of the destribution for normolized and self-normolized sums
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2002
SP - 77
EP - 87
VL - 294
UR - http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a5/
LA - ru
ID - ZNSL_2002_294_a5
ER -
%0 Journal Article
%A V. A. Egorov
%T An estimate of the tail of the destribution for normolized and self-normolized sums
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 77-87
%V 294
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a5/
%G ru
%F ZNSL_2002_294_a5
Some combinatorical inequality is derived. Using it, new estimates are proved for probabilities of large deviation of normalized and self-normalized sums of independent and dependent positive random values. As a consequence a right-hand estimate is derived for strong law of large numbers.
