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The Almost Sure Local Central Limit Theorem for the Negatively Associated Sequences

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  • Yuanying Jiang
  • Qunying Wu

Abstract

In this paper, the almost sure central limit theorem is established for sequences of negatively associated random variables: limn→∞ (1/log n)∑k=1n(I(ak≤Sk

Suggested Citation

  • Yuanying Jiang & Qunying Wu, 2013. "The Almost Sure Local Central Limit Theorem for the Negatively Associated Sequences," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:656257
    DOI: 10.1155/2013/656257
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    References listed on IDEAS

    as
    1. Peligrad, Magda & Shao, Qi-Man, 1995. "A note on the almost sure central limit theorem for weakly dependent random variables," Statistics & Probability Letters, Elsevier, vol. 22(2), pages 131-136, February.
    2. Qi-Man Shao, 2000. "A Comparison Theorem on Moment Inequalities Between Negatively Associated and Independent Random Variables," Journal of Theoretical Probability, Springer, vol. 13(2), pages 343-356, April.
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