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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
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
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
Linking options:
https://www.mathnet.ru/eng/tvp2417https://doi.org/10.4213/tvp2417 https://www.mathnet.ru/eng/tvp/v53/i2/p364
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