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The Baum-Katz theorem for bounded subsequences

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  • Stoica, George

Abstract

We prove the Baum-Katz theorem for a certain subsequence of Lp-bounded random variables, where 0

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  • Stoica, George, 2008. "The Baum-Katz theorem for bounded subsequences," Statistics & Probability Letters, Elsevier, vol. 78(7), pages 924-926, May.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:7:p:924-926
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    References listed on IDEAS

    as
    1. Lesigne, Emmanuel & Volný, Dalibor, 2001. "Large deviations for martingales," Stochastic Processes and their Applications, Elsevier, vol. 96(1), pages 143-159, November.
    2. Sung, Soo Hak & Volodin, Andrei I. & Hu, Tien-Chung, 2005. "More on complete convergence for arrays," Statistics & Probability Letters, Elsevier, vol. 71(4), pages 303-311, March.
    3. Deng, Dianliang, 2005. "The complete convergence of subsequence for sums of independent B-valued random variables," Statistics & Probability Letters, Elsevier, vol. 74(3), pages 235-244, October.
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