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A note on complete convergence for arrays

Author

Listed:
  • Hu, T. -C.
  • Szynal, D.
  • Volodin, A. I.

Abstract

We extend and generalize some recent results on complete convergence for independent non-identically distributed random variables (cf. Duncan and Szynal, 1984; Gut, 1992; Hu et al., 1989). In the main result no assumptions are made concerning the existence of expected values or absolute moments of the random variables. Some well-known results from the literature can be easily obtained from our theorem.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:38:y:1998:i:1:p:27-31
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    Citations

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    Cited by:

    1. 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.
    2. Kuczmaszewska, Anna, 2007. "On complete convergence for arrays of rowwise dependent random variables," Statistics & Probability Letters, Elsevier, vol. 77(11), pages 1050-1060, June.
    3. Sung, Soo Hak, 2007. "Complete convergence for weighted sums of random variables," Statistics & Probability Letters, Elsevier, vol. 77(3), pages 303-311, February.
    4. 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.
    5. 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.
    6. 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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