Geodesic
On Convergence of Submartingales
Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 2, pp. 364-373

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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, Markov time.
Mots-clés : a.e. convergence 
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     author = {V. M. Kruglov},
     title = {On {Convergence} of {Submartingales}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {364--373},
     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a10/}
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V. M. Kruglov. On Convergence of Submartingales. Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 2, pp. 364-373. http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a10/