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Equivalent Conditions of Complete Convergence for Weighted Sums of Sequences of Negatively Dependent Random Variables

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  • Mingle Guo

Abstract

The complete convergence for weighted sums of sequences of negatively dependent random variables is investigated. By applying moment inequality and truncation methods, the equivalent conditions of complete convergence for weighted sums of sequences of negatively dependent random variables are established. These results not only extend the corresponding results obtained by Li et al. (1995), Gut (1993), and Liang (2000) to sequences of negatively dependent random variables, but also improve them.

Suggested Citation

  • Mingle Guo, 2012. "Equivalent Conditions of Complete Convergence for Weighted Sums of Sequences of Negatively Dependent Random Variables," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:425969
    DOI: 10.1155/2012/425969
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    References listed on IDEAS

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    1. Liang, Han-Ying, 2000. "Complete convergence for weighted sums of negatively associated random variables," Statistics & Probability Letters, Elsevier, vol. 48(4), pages 317-325, July.
    2. R. L. Taylor & R. F. Patterson & A. Bozorgnia, 2001. "Weak laws of large numbers for arrays of rowwise negatively dependent random variables," International Journal of Stochastic Analysis, Hindawi, vol. 14, pages 1-10, January.
    3. M. Amini D. & A. Bozorgnia, 2003. "Complete convergence for negatively dependent random variables," International Journal of Stochastic Analysis, Hindawi, vol. 16, pages 1-6, January.
    4. Qunying Wu, 2011. "Complete Convergence for Weighted Sums of Sequences of Negatively Dependent Random Variables," Journal of Probability and Statistics, Hindawi, vol. 2011, pages 1-16, March.
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