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On complete convergence for arrays of rowwise dependent random variables

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  • Kuczmaszewska, Anna

Abstract

This paper establishes two results for complete convergence in the law of large numbers for arrays under [varrho]-mixing and -mixing association in rows. They extend several known results.

Suggested Citation

  • Kuczmaszewska, Anna, 2007. "On complete convergence for arrays of rowwise dependent random variables," Statistics & Probability Letters, Elsevier, vol. 77(11), pages 1050-1060, June.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:11:p:1050-1060
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Hu, T. -C. & Szynal, D. & Volodin, A. I., 1998. "A note on complete convergence for arrays," Statistics & Probability Letters, Elsevier, vol. 38(1), pages 27-31, May.
    4. Kuczmaszewska, Anna, 2004. "On some conditions for complete convergence for arrays," Statistics & Probability Letters, Elsevier, vol. 66(4), pages 399-405, March.
    5. Shixin, Gan, 2004. "Almost sure convergence for -mixing random variable sequences," Statistics & Probability Letters, Elsevier, vol. 67(4), pages 289-298, May.
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    Cited by:

    1. Soo Sung, 2013. "On the strong convergence for weighted sums of ρ * -mixing random variables," Statistical Papers, Springer, vol. 54(3), pages 773-781, August.

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