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On the convergence of the empirical mass function

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  • Russo, Ralph P.
  • Shyamalkumar, Nariankadu D.

Abstract

We show that the empirical mass function associated with a sequence of i.i.d. discrete random variables converges in lr at the (n/log2n)1/2 rate, for all r>=2. For r

Suggested Citation

  • Russo, Ralph P. & Shyamalkumar, Nariankadu D., 2008. "On the convergence of the empirical mass function," Statistics & Probability Letters, Elsevier, vol. 78(15), pages 2293-2299, October.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:15:p:2293-2299
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    References listed on IDEAS

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    1. Dehling, Herold, 1989. "Complete convergence of triangular arrays and the law of the iterated logarithm for U-statistics," Statistics & Probability Letters, Elsevier, vol. 7(4), pages 319-321, February.
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