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Asymptotic normality for U-statistics of negatively associated random variables

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  • Huang, Wei
  • Zhang, Lin-Xi

Abstract

Let {Xn;n[greater-or-equal, slanted]0} be a sequence of negatively associated random variables and Un be a U-statistic based on this sample. We establish a central limit theorem for Un when the U-statistic is degenerate or non-degenerate.

Suggested Citation

  • Huang, Wei & Zhang, Lin-Xi, 2006. "Asymptotic normality for U-statistics of negatively associated random variables," Statistics & Probability Letters, Elsevier, vol. 76(11), pages 1125-1131, June.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:11:p:1125-1131
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    References listed on IDEAS

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    1. Zhang, Li-Xin, 2001. "The Weak Convergence for Functions of Negatively Associated Random Variables," Journal of Multivariate Analysis, Elsevier, vol. 78(2), pages 272-298, August.
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    Cited by:

    1. Leucht, Anne & Neumann, Michael H., 2013. "Dependent wild bootstrap for degenerate U- and V-statistics," Journal of Multivariate Analysis, Elsevier, vol. 117(C), pages 257-280.
    2. Anne Leucht & Michael Neumann, 2013. "Degenerate $$U$$ - and $$V$$ -statistics under ergodicity: asymptotics, bootstrap and applications in statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(2), pages 349-386, April.

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