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Almost sure central limit theorem for the products of U-statistics


  • Zuoxiang Peng
  • Zhongquan Tan
  • Saralees Nadarajah



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Suggested Citation

  • Zuoxiang Peng & Zhongquan Tan & Saralees Nadarajah, 2011. "Almost sure central limit theorem for the products of U-statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 73(1), pages 61-76, January.
  • Handle: RePEc:spr:metrik:v:73:y:2011:i:1:p:61-76
    DOI: 10.1007/s00184-009-0265-0

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    References listed on IDEAS

    1. Berkes, István & Csáki, Endre, 2001. "A universal result in almost sure central limit theory," Stochastic Processes and their Applications, Elsevier, vol. 94(1), pages 105-134, July.
    2. Berkes, István & Csáki, Endre & Horváth, Lajos, 1998. "Almost sure central limit theorems under minimal conditions," Statistics & Probability Letters, Elsevier, vol. 37(1), pages 67-76, January.
    3. Li, Deli & Tomkins, R. J., 1996. "Laws of the iterated logarithm for weighted sums of independent random variables," Statistics & Probability Letters, Elsevier, vol. 27(3), pages 247-254, April.
    4. Holzmann, Hajo & Koch, Susanne & Min, Aleksey, 2004. "Almost sure limit theorems for U-statistics," Statistics & Probability Letters, Elsevier, vol. 69(3), pages 261-269, September.
    5. Ibragimov, Ildar & Lifshits, Mikhail, 1998. "On the convergence of generalized moments in almost sure central limit theorem," Statistics & Probability Letters, Elsevier, vol. 40(4), pages 343-351, November.
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