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A general approach rate to the strong law of large numbers

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  • Shuhe, Hu
  • Ming, Hu

Abstract

We obtain the strong growth rate for the sum Sn of random variables by using a Hájek-Rényi type maximal inequality. Under the same conditions as that in Fazekas and Klesov [2000. A general approach to the strong law of large numbers. Theory Probab. Appl. 45, 436-449], we get sharper results for some dependent sums.

Suggested Citation

  • Shuhe, Hu & Ming, Hu, 2006. "A general approach rate to the strong law of large numbers," Statistics & Probability Letters, Elsevier, vol. 76(8), pages 843-851, April.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:8:p:843-851
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    References listed on IDEAS

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    1. Liu, Jingjun & Gan, Shixin & Chen, Pingyan, 1999. "The Hájeck-Rényi inequality for the NA random variables and its application," Statistics & Probability Letters, Elsevier, vol. 43(1), pages 99-105, May.
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    Cited by:

    1. Wang, Xuejun & Hu, Shuhe & Shen, Yan & Ling, Nengxiang, 2008. "Strong law of large numbers and growth rate for a class of random variable sequences," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3330-3337, December.

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