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On the strong law of large numbers for non-independentB-valued random variables

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Wuhan University Journal of Natural Sciences

Abstract

This paper investigates some conditions which imply the strong laws of large numbers for Banach space valued random variable sequences. Some generalizations of the Marcinkiewicz-Zygmund theorem and the Hoffmann-Jørgensen and Pisier theorem are obtained.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, 430072, Wuhan, Hubei, China

    Gan Shi-xin

Authors
  1. Gan Shi-xin
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Additional information

Foundation item: Supported by the National Natural Science Foundation of China (10071058)

Biography: Gan Shi-xin (1939-), male, Professor, research direction: martingale theory, probability limiting theory and Banach space geometry theory.

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Shi-xin, G. On the strong law of large numbers for non-independentB-valued random variables. Wuhan Univ. J. Nat. Sci. 9, 13–17 (2004). https://doi.org/10.1007/BF02912709

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  • DOI: https://doi.org/10.1007/BF02912709

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