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Teoriya Veroyatnostei i ee Primeneniya, 2008, Volume 53, Issue 2, Pages 364–373
DOI: https://doi.org/10.4213/tvp2417 (Mi tvp2417) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

On Convergence of Submartingales

V. M. Kruglov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
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DOI: https://doi.org/10.4213/tvp2417
Abstract: This paper proves the a.e. convergence theorems of separable submartingales. As an example there are known Doob's theorems on the convergence of integrable submartingales.
Keywords: submartingale, a.e. convergence, Markov time.
Received: 10.01.2008
English version:
Theory of Probability and its Applications, 2009, Volume 53, Issue 2, Pages 321–329
DOI: https://doi.org/10.1137/S0040585X97983602
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. M. Kruglov, “On Convergence of Submartingales”, Teor. Veroyatnost. i Primenen., 53:2 (2008), 364–373; Theory Probab. Appl., 53:2 (2009), 321–329
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v53/i2/p364
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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    References:55
     
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