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A bilateral inequality on a nonnegative bounded random sequence

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  • Xie, Yuquan

Abstract

A bilateral inequality on the Borel-Cantelli lemma in [Xie, Y.Q., 2008. A bilateral inequality on the Borel-Cantelli lemma. Statist. Probab. Lett. 78, 2052-2057] is improved and extended to the case of a bounded nonnegative sequence of random variables.

Suggested Citation

  • Xie, Yuquan, 2009. "A bilateral inequality on a nonnegative bounded random sequence," Statistics & Probability Letters, Elsevier, vol. 79(14), pages 1577-1580, July.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:14:p:1577-1580
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    References listed on IDEAS

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    1. Xie, Yuquan, 2008. "A bilateral inequality on the Borel-Cantelli Lemma," Statistics & Probability Letters, Elsevier, vol. 78(14), pages 2052-2057, October.
    2. Hu, Shuhe & Wang, Xuejun & Li, Xiaoqin & Zhang, Yuanyuan, 2009. "Comments on the paper: A bilateral inequality on the Borel-Cantelli Lemma," Statistics & Probability Letters, Elsevier, vol. 79(7), pages 889-893, April.
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    Cited by:

    1. Estrada, Luisa F. & Högele, Michael A., 2022. "Moment estimates in the first Borel–Cantelli Lemma with applications to mean deviation frequencies," Statistics & Probability Letters, Elsevier, vol. 190(C).
    2. Liu, Jicheng, 2012. "A note on the bilateral inequality for a sequence of random variables," Statistics & Probability Letters, Elsevier, vol. 82(5), pages 871-875.
    3. Xuejun Wang & Xinghui Wang & Xiaoqin Li & Shuhe Hu, 2014. "Extensions of the Borel–Cantelli lemma in general measure spaces," Journal of Theoretical Probability, Springer, vol. 27(4), pages 1229-1248, December.

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