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Convergence rates for the law of large numbers for arrays

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  • Hernández, Víctor
  • Urmeneta, Henar

Abstract

We present Baum and Katz type moment conditions which characterize convergence rates for the laws of the large numbers for rowwise arrays. It considers arrays of rowwise independent, but not necessarily identically distributed random variables where each row regularly covers a random variable.

Suggested Citation

  • Hernández, Víctor & Urmeneta, Henar, 2006. "Convergence rates for the law of large numbers for arrays," Statistics & Probability Letters, Elsevier, vol. 76(16), pages 1714-1722, October.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:16:p:1714-1722
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    References listed on IDEAS

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    1. Sung, Soo Hak & Volodin, Andrei I. & Hu, Tien-Chung, 2005. "More on complete convergence for arrays," Statistics & Probability Letters, Elsevier, vol. 71(4), pages 303-311, March.
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    Cited by:

    1. Urmeneta, Henar & Hernandez, Victor, 2007. "Random Riemann Sum estimator versus Monte Carlo," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4717-4730, May.

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