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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Volume 287, Pages 300–309
DOI: https://doi.org/10.1134/S0371968514040177 (Mi tm3589) 		 
On the law of large numbers for martingales

P. A. Yaskov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.1134/S0371968514040177
Abstract: 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.
Funding agency Grant number
Russian Science Foundation 14-21-00162
This work was supported by the Russian Science Foundation, project no. 14-21-00162.
Received in September 2014
English version:
Proceedings of the Steklov Institute of Mathematics, 2014, Volume 287, Issue 1, Pages 289–298
DOI: https://doi.org/10.1134/S0081543814080173
Bibliographic databases:
Document Type: Article
UDC: 519.214+519.216.8
Language: Russian
Citation: P. A. Yaskov, “On the law of large numbers for martingales”, Stochastic calculus, martingales, and their applications, Collected papers. Dedicated to Academician Albert Nikolaevich Shiryaev on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 287, MAIK Nauka/Interperiodica, Moscow, 2014, 300–309; Proc. Steklov Inst. Math., 287:1 (2014), 289–298
Citation in format AMSBIB
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\vol 287
\pages 300--309
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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