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On complete convergence for arrays

Author

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  • Kruglov, Victor M.
  • Volodin, Andrei I.
  • Hu, Tien-Chung

Abstract

In this note we present new results on a complete convergence for arrays of rowwise independent random variables that generalize the results of Hu et al. [2003. Complete convergence for arrays of rowwise independent random variables. Comm. Korean Math. Soc. 18, 375-383], Kuczmaszewska [2004. On some conditions for complete convergence for arrays. Statist. Probab. Lett. 66, 399-405], and Sung et al. [2005. More on complete convergence for arrays. Statist. Probab. Lett. 71, 303-311]. Additional results that deal with complete convergence for rowwise dependent arrays are given.

Suggested Citation

  • Kruglov, Victor M. & Volodin, Andrei I. & Hu, Tien-Chung, 2006. "On complete convergence for arrays," Statistics & Probability Letters, Elsevier, vol. 76(15), pages 1631-1640, September.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:15:p:1631-1640
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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. 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.
    3. Kuczmaszewska, Anna, 2004. "On some conditions for complete convergence for arrays," Statistics & Probability Letters, Elsevier, vol. 66(4), pages 399-405, March.
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    Cited by:

    1. Xuejun Wang & Yi Wu & Shuhe Hu, 2016. "Exponential probability inequality for $$m$$ m -END random variables and its applications," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 79(2), pages 127-147, February.
    2. Xuejun Wang & Chen Xu & Tien-Chung Hu & Andrei Volodin & Shuhe Hu, 2014. "On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 607-629, September.

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