On complete convergence in a Banach space.
Kuczmaszewska, Anna, Szynal, Dominik (1994)
International Journal of Mathematics and Mathematical Sciences
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Kuczmaszewska, Anna, Szynal, Dominik (1994)
International Journal of Mathematics and Mathematical Sciences
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Kuczmaszewska, Anna, Szynal, Dominik (1997)
International Journal of Mathematics and Mathematical Sciences
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Ta Cong Son, Dang Hung Thang, Le Van Dung (2014)
Applications of Mathematics
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The rate of moment convergence of sample sums was investigated by Chow (1988) (in case of real-valued random variables). In 2006, Rosalsky et al. introduced and investigated this concept for case random variable with Banach-valued (called complete convergence in mean of order ). In this paper, we give some new results of complete convergence in mean of order and its applications to strong laws of large numbers for double arrays of random variables taking values in Banach spaces. ...
Davar Khoshnevisan (2000)
Séminaire de probabilités de Strasbourg
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Adler, André, Volodin, Andrey (1995)
International Journal of Mathematics and Mathematical Sciences
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Peligrad, Magda (1999)
Electronic Journal of Probability [electronic only]
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Nassif Ghoussoub, Michel Talagrand (1977)
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Dorota Dudek, Wiesław Zięba (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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In recent years, convergence results for multivalued functions have been developed and used in several areas of applied mathematics: mathematical economics, optimal control, mechanics, etc. The aim of this note is to give a criterion of almost sure convergence for multivalued asymptotic martingales (amarts). For every separable Banach space B the fact that every L¹-bounded B-valued martingale converges a.s. in norm to an integrable B-valued random variable (r.v.) is equivalent to the...
Hu, Yijun (2000)
International Journal of Mathematics and Mathematical Sciences
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A. Engelbert, H. Engelbert (1980)
Banach Center Publications
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