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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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