Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 2, Tome 244 (1997), pp. 257-270
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L. V. Rozovskii. On the law of iterated logarithm for sums of the independent finite variation random variables. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 2, Tome 244 (1997), pp. 257-270. http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a17/
@article{ZNSL_1997_244_a17,
author = {L. V. Rozovskii},
title = {On the law of iterated logarithm for sums of the independent finite variation random variables},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {257--270},
year = {1997},
volume = {244},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a17/}
}
TY - JOUR
AU - L. V. Rozovskii
TI - On the law of iterated logarithm for sums of the independent finite variation random variables
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 257
EP - 270
VL - 244
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a17/
LA - ru
ID - ZNSL_1997_244_a17
ER -
%0 Journal Article
%A L. V. Rozovskii
%T On the law of iterated logarithm for sums of the independent finite variation random variables
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 257-270
%V 244
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_244_a17/
%G ru
%F ZNSL_1997_244_a17
The objective of the note is to find the simple but rather general conditions giving the opportunity to extend the Kolmogorov theorem on the law of iterated logarithm to the case of unbounded summands with finite variations. The obtained results include both Kolmogorov's and the Hartman\;–\;Wintner theorems.
