On the strong law of large numbers for a sequence of dependent random variables
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 18, Tome 408 (2012), pp. 285-288 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

New sufficient conditions are found for the applicability of the strong law of large numbers to a sequence of random variables without assumptions of independence or nonnegativity.
@article{ZNSL_2012_408_a16,
     author = {V. V. Petrov},
     title = {On the strong law of large numbers for a~sequence of dependent random variables},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {285--288},
     year = {2012},
     volume = {408},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_408_a16/}
}
TY  - JOUR
AU  - V. V. Petrov
TI  - On the strong law of large numbers for a sequence of dependent random variables
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2012
SP  - 285
EP  - 288
VL  - 408
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2012_408_a16/
LA  - ru
ID  - ZNSL_2012_408_a16
ER  - 
%0 Journal Article
%A V. V. Petrov
%T On the strong law of large numbers for a sequence of dependent random variables
%J Zapiski Nauchnykh Seminarov POMI
%D 2012
%P 285-288
%V 408
%U http://geodesic.mathdoc.fr/item/ZNSL_2012_408_a16/
%G ru
%F ZNSL_2012_408_a16
V. V. Petrov. On the strong law of large numbers for a sequence of dependent random variables. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 18, Tome 408 (2012), pp. 285-288. http://geodesic.mathdoc.fr/item/ZNSL_2012_408_a16/

[1] O. Barndorff-Nielsen, “Characteristic subsequuences and limit laws for weighted means”, Trans. Third Prague conference on information theory, statistical decision function, random processes, Publishing House of the Czechoslovak Akad. Sci., Prague, 1964, 17–27 | MR

[2] A. Dvoretzky, “On the strong stability of a sequence of events”, Ann. Math. Statist., 20:2 (1949), 296–299 | DOI | MR | Zbl

[3] V. V. Petrov, “K usilennomu zakonu bolshikh chisel dlya posledovatelnosti neotritsatelnykh sluchainykh velichin”, Zap. nauchn. semin. POMI, 384, 2010, 182–184 | MR