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On asymptotic behavior of U-statistics for associated random variables

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  • Garg, Mansi
  • Dewan, Isha

Abstract

Let {Xn,n≥1} be a sequence of stationary associated random variables. For such a sequence we discuss the limiting behavior of U-statistics based on kernels which are of bounded Hardy–Krause variation.

Suggested Citation

  • Garg, Mansi & Dewan, Isha, 2015. "On asymptotic behavior of U-statistics for associated random variables," Statistics & Probability Letters, Elsevier, vol. 105(C), pages 209-220.
    • Handle: RePEc:eee:stapro:v:105:y:2015:i:c:p:209-220
    DOI: 10.1016/j.spl.2015.06.019
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    References listed on IDEAS

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    1. Bagai, Isha & Prakasa Rao, B. L. S., 1991. "Estimation of the survival function for stationary associated processes," Statistics & Probability Letters, Elsevier, vol. 12(5), pages 385-391, November.
    2. Beare, Brendan K., 2009. "A generalization of Hoeffding's lemma, and a new class of covariance inequalities," Statistics & Probability Letters, Elsevier, vol. 79(5), pages 637-642, March.
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    Cited by:

    1. Garg, Mansi & Dewan, Isha, 2018. "On limiting distribution of U-statistics based on associated random variables," Statistics & Probability Letters, Elsevier, vol. 132(C), pages 7-16.

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