Geodesic
On stability of sums of nonnegative random variables
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 13, Tome 361 (2008), pp. 78-82 
V. V. Petrov. On stability of sums of nonnegative random variables. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 13, Tome 361 (2008), pp. 78-82. http://geodesic.mathdoc.fr/item/ZNSL_2008_361_a5/
@article{ZNSL_2008_361_a5,
     author = {V. V. Petrov},
     title = {On stability of sums of nonnegative random variables},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {78--82},
     year = {2008},
     volume = {361},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_361_a5/}
}
TY  - JOUR
AU  - V. V. Petrov
TI  - On stability of sums of nonnegative random variables
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2008
SP  - 78
EP  - 82
VL  - 361
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2008_361_a5/
LA  - ru
ID  - ZNSL_2008_361_a5
ER  - 
%0 Journal Article
%A V. V. Petrov
%T On stability of sums of nonnegative random variables
%J Zapiski Nauchnykh Seminarov POMI
%D 2008
%P 78-82
%V 361
%U http://geodesic.mathdoc.fr/item/ZNSL_2008_361_a5/
%G ru
%F ZNSL_2008_361_a5

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We present sufficient conditions for stability of sums of nonnegative random variables having finite moments of the second order. We demonstrate that these conditions are nonimprovable in some sense. Bibl. – 4 titles.

[1] B. V. Gnedenko, A. N. Kolmogorov, Predelnye raspredeleniya dlya summ nezavisimykh sluchainykh velichin, Gostekhteoretizdat, Moskva–Leningrad, 1949

[2] N. Etemadi, “Stability of sums of weighted nonnegative random variables”, J. Multivariate Analysis, 13 (1983), 361–365 | DOI | MR | Zbl

[3] V. V. Petrov, Summy nezavisimykh sluchainykh velichin, Nauka, Moskva, 1972 | MR

[4] V. V. Petrov, “Ob usilennom zakone bolshikh chisel dlya posledovatelnosti neotritsatelnykh sluchainykh velichin”, Teoriya veroyatn. i ee primen., 53:2 (2008), 379–382