Geodesic
On the law of large numbers for martingales
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Stochastic calculus, martingales, and their applications, Tome 287 (2014), pp. 300-309 
P. A. Yaskov. On the law of large numbers for martingales. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Stochastic calculus, martingales, and their applications, Tome 287 (2014), pp. 300-309. http://geodesic.mathdoc.fr/item/TM_2014_287_a16/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Additional constraints are obtained under which sufficient conditions in the classical law of large numbers in a scheme of series for martingales are also necessary. The accuracy of the constraints obtained is demonstrated by examples.

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