Geodesic
On the strong law of large numbers for sequence of independent random variables
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 23, Tome 442 (2015), pp. 97-100 
V. M. Korchevsky. On the strong law of large numbers for sequence of independent random variables. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 23, Tome 442 (2015), pp. 97-100. http://geodesic.mathdoc.fr/item/ZNSL_2015_442_a4/
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     author = {V. M. Korchevsky},
     title = {On the strong law of large numbers for sequence of independent random variables},
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     pages = {97--100},
     year = {2015},
     volume = {442},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_442_a4/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

New sufficient conditions for the applicability of the strong law of large numbers are established for a sequence of independent random variables.

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

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

[3] V. Korchevsky, “A generalization of the Petrov strong law of large numbers”, Statist. Probab. Letters, 104 (2015), 102–108 | DOI | MR | Zbl

[4] J. Marcinkiewicz, A. Zygmund, “Quelques théorèmes sur les fonctions indépendantes”, Studia Math., 7 (1938), 104–120 | Zbl

[5] T. Kawata, Fourier Analysis in Probability Theory, Academic Press, New York, 1972 | MR | Zbl

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