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On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables

Author

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  • Aiting Shen
  • Ying Zhang
  • Andrei Volodin

Abstract

Let be a sequence of positive constants with and let be a sequence of pairwise negatively quadrant dependent random variables. The complete convergence for pairwise negatively quadrant dependent random variables is studied under mild condition. In addition, the strong laws of large numbers for identically distributed pairwise negatively quadrant dependent random variables are established, which are equivalent to the mild condition . Our results obtained in the paper generalize the corresponding ones for pairwise independent and identically distributed random variables.

Suggested Citation

  • Aiting Shen & Ying Zhang & Andrei Volodin, 2014. "On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, May.
    • Handle: RePEc:hin:jnlaaa:949608
    DOI: 10.1155/2014/949608
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    Cited by:

    1. Vu T. N. Anh & Nguyen T. T. Hien & Le V. Thanh & Vo T. H. Van, 2021. "The Marcinkiewicz–Zygmund-Type Strong Law of Large Numbers with General Normalizing Sequences," Journal of Theoretical Probability, Springer, vol. 34(1), pages 331-348, March.

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