Geodesic
On the Strong Law of Large Numbers for Nonnegative Random Variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 2, pp. 379-382 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The wide sufficient conditions of applying the strong law of large numbers to a sequence of nonnegative random variables with finite variations are found.
Keywords: strong law of large numbers, sequences of nonnegative random variables. 
@article{TVP_2008_53_2_a12,
     author = {V. V. Petrov},
     title = {On the {Strong} {Law} of {Large} {Numbers} for {Nonnegative} {Random} {Variables}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {379--382},
     year = {2008},
     volume = {53},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a12/}
}
TY  - JOUR
AU  - V. V. Petrov
TI  - On the Strong Law of Large Numbers for Nonnegative Random Variables
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2008
SP  - 379
EP  - 382
VL  - 53
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a12/
LA  - ru
ID  - TVP_2008_53_2_a12
ER  - 
%0 Journal Article
%A V. V. Petrov
%T On the Strong Law of Large Numbers for Nonnegative Random Variables
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2008
%P 379-382
%V 53
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a12/
%G ru
%F TVP_2008_53_2_a12
V. V. Petrov. On the Strong Law of Large Numbers for Nonnegative Random Variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 2, pp. 379-382. http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a12/

[1] Petrov V. V., Summy nezavisimykh sluchainykh velichin, Nauka, M., 1972, 414 pp. | MR

[2] Petrov V. V., “Nekotorye otsenki dlya summ zavisimykh sluchainykh velichin, imeyuschie mesto pochti navernoe”, Zapiski nauch. sem. LOMI, 55, 1976, 113–116 | MR | Zbl

[3] Petrov V. V., “Ob usilennom zakone bolshikh chisel”, Teoriya veroyatn. i ee primen., 14:2 (1969), 193–202 | MR

[4] Etemadi N., “On the law of large numbers for nonnegative random variables”, J. Multivariate Anal., 13:1 (1983), 187–193 | DOI | MR | Zbl

[5] Petrov V. V., Predelnye teoremy dlya summ nezavisimykh sluchainykh velichin, Nauka, M., 1987, 317 pp. | MR