Geodesic
On the law of large numbers for nonlinear mean random variables
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2019), pp. 79-87.

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider variants of the law of large numbers with respect to the average power, average geometric and mean harmonic systems of random variables and estabilihs various forms of convergence of the indicated means to the limiting values.
Mots-clés : random variables, nonlinear averages, the law of large numbers. 
@article{IVM_2019_8_a6,
     author = {V. L. Khatskevich},
     title = {On the law of large numbers for nonlinear mean random variables},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {79--87},
     publisher = {mathdoc},
     number = {8},
     year = {2019},
     language = {ru},
     url = {https://geodesic-test.mathdoc.fr/item/IVM_2019_8_a6/}
}
TY  - JOUR
AU  - V. L. Khatskevich
TI  - On the law of large numbers for nonlinear mean random variables
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2019
SP  - 79
EP  - 87
IS  - 8
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/IVM_2019_8_a6/
LA  - ru
ID  - IVM_2019_8_a6
ER  - 
%0 Journal Article
%A V. L. Khatskevich
%T On the law of large numbers for nonlinear mean random variables
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2019
%P 79-87
%N 8
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/IVM_2019_8_a6/
%G ru
%F IVM_2019_8_a6
V. L. Khatskevich. On the law of large numbers for nonlinear mean random variables. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2019), pp. 79-87. https://geodesic-test.mathdoc.fr/item/IVM_2019_8_a6/

[1] Gnedenko B. V., Kurs teorii veroyatnostei, Nauka, M., 2005 | MR

[2] Dzhini K., Srednie velichiny, Statistika, M., 1970

[3] Khardi G. G., Littlvud Dzh. E., Polia G., Neravenstva, In. lit., M., 1948

[4] Loev M., Teoriya veroyatnostei, In. lit., M., 1962 | MR

[5] Uittl P., Veroyatnost, Nauka, M., 1982

[6] Borovkov A. A., Matematicheskaya statistika, Nauka, M., 1984

[7] Neve Zh., Matematicheskie osnovy teorii veroyatnostei, Mir, M., 1969

[8] Feller V., Vvedenie v teoriyu veroyatnostei i ee prilozheniya, v. 2, Mir, M., 1984 | MR

[9] Opoitsev V. I., “Nelineinyi zakon bolshikh chisel”, Avtomatika i telemekhanika, 1994, no. 4, 65–75 | MR | Zbl

[10] Barndorf-Nilsen O., Koks D., Asimptoticheskie metody v matematicheskoi statistike, Mir, M., 1999