On convergence of series of random elements via maximal moment relations with applications to martingale convergence and to convergence of series with -orthogonal summands.

Rosalsky, Andrew; Volodin, Andrei I.

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On convergence of series of random elements via maximal moment relations with applications to martingale convergence and to convergence of series with -orthogonal summands.

Rosalsky, Andrew ; Volodin, Andrei I.

Georgian Mathematical Journal, Tome 8 (2001) no. 2, pp. 377-388.

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Keywords: series of Banach space valued random elements, almost sure convergence, tail series, rate of convergence, martingale difference sequence, -orthogonal sequence, -orthogonal sequence

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     author = {Rosalsky, Andrew and Volodin, Andrei I.},
     title = {On convergence of series of random elements via maximal moment relations with applications to martingale convergence and to convergence of series with -orthogonal summands.},
     journal = {Georgian Mathematical Journal},
     pages = {377--388},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2001},
     zbl = {1012.60008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/GMJ_2001__8_2_50035/}
}

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Rosalsky, Andrew; Volodin, Andrei I. On convergence of series of random elements via maximal moment relations with applications to martingale convergence and to convergence of series with -orthogonal summands.. Georgian Mathematical Journal, Tome 8 (2001) no. 2, pp. 377-388. http://geodesic.mathdoc.fr/item/GMJ_2001__8_2_50035/