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Complete convergence for arrays

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Abstract

Let {(X nk , 1≤k≤n),n≥1}, be an array of rowwise independent random variables. We extend and generalize some recent results due to Hu, Móricz and Taylor concerning complete convergence, in the sense of Hsu and Robbins, of the sequence of rowwise arithmetic means.

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Authors and Affiliations

  1. Department of Mathematics, Uppsala University, P. O. Box 480, S-75106, Uppsala, Sweden

    A. Gut

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  1. A. Gut
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Gut, A. Complete convergence for arrays. Period Math Hung 25, 51–75 (1992). https://doi.org/10.1007/BF02454383

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  • DOI: https://doi.org/10.1007/BF02454383

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