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Convergence rates in the law of large numbers for arrays of Banach space valued random elements


  • Tómács, Tibor


A general convergence rate theorem is obtained for arrays of Banach space valued random elements. This theorem gives a unified approach to prove and extend several known results.

Suggested Citation

  • Tómács, Tibor, 2005. "Convergence rates in the law of large numbers for arrays of Banach space valued random elements," Statistics & Probability Letters, Elsevier, vol. 72(1), pages 59-69, April.
  • Handle: RePEc:eee:stapro:v:72:y:2005:i:1:p:59-69

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    References listed on IDEAS

    1. Ahmed, S. Ejaz & Antonini, Rita Giuliano & Volodin, Andrei, 2002. "On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes," Statistics & Probability Letters, Elsevier, vol. 58(2), pages 185-194, June.
    2. Csörgo, Sándor, 2003. "Rates in the complete convergence of bootstrap means," Statistics & Probability Letters, Elsevier, vol. 64(4), pages 359-368, October.
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