One-side theorems on the law of the iterated logarithm without the independence assumption
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 150-156
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Two theorems on the law of the iterated logarithm are proved for sequences of not necessarily independent random variables. These theorems are one-sided analogoues of some results of Lai and Stout.
@article{ZNSL_1983_130_a15,
author = {V. V. Petrov},
title = {One-side theorems on the law of the iterated logarithm without the independence assumption},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {150--156},
publisher = {mathdoc},
volume = {130},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a15/}
}
TY - JOUR AU - V. V. Petrov TI - One-side theorems on the law of the iterated logarithm without the independence assumption JO - Zapiski Nauchnykh Seminarov POMI PY - 1983 SP - 150 EP - 156 VL - 130 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a15/ LA - ru ID - ZNSL_1983_130_a15 ER -
V. V. Petrov. One-side theorems on the law of the iterated logarithm without the independence assumption. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 150-156. http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a15/