Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IV, Tome 72 (1977), pp. 103-106
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V. V. Petrov. A strong law of large numbers for orthogonal random variables. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IV, Tome 72 (1977), pp. 103-106. http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a7/
@article{ZNSL_1977_72_a7,
author = {V. V. Petrov},
title = {A strong law of large numbers for orthogonal random variables},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {103--106},
year = {1977},
volume = {72},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a7/}
}
TY - JOUR
AU - V. V. Petrov
TI - A strong law of large numbers for orthogonal random variables
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 103
EP - 106
VL - 72
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a7/
LA - ru
ID - ZNSL_1977_72_a7
ER -
%0 Journal Article
%A V. V. Petrov
%T A strong law of large numbers for orthogonal random variables
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 103-106
%V 72
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a7/
%G ru
%F ZNSL_1977_72_a7
A generalization of one theorem of K. Tandori is proved. A sufficient condition is derived for application of a strong law of large numbers to a sequence of orthogonal random variables, expressed in terms of the growth of sums of second moments of these variables.
