Complete convergence for arrays |
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| Authors: | A Gut |
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| Institution: | (1) Department of Mathematics, Uppsala University, P. O. Box 480, S-75106 Uppsala, Sweden |
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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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| Keywords: | 1991 Primary 60F15 60G50 and phrases Array rowwise independence sums of independent random variables complete convergence strong law central limit theorem weighted sums |
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