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Maximal inequalities and strong law of large numbers for sequences of m-asymptotically almost negatively associated random variables

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  • Trinh Hoai Nam
  • Tien-Chung Hu
  • Andrei Volodin

Abstract

In this paper, we establish some inequalities for maximum of partial sums of m-asymptotically almost negatively associated random variables. With the help of these inequalities we prove some strong law of large numbers.

Suggested Citation

  • Trinh Hoai Nam & Tien-Chung Hu & Andrei Volodin, 2017. "Maximal inequalities and strong law of large numbers for sequences of m-asymptotically almost negatively associated random variables," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(6), pages 2696-2707, March.
  • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:6:p:2696-2707
    DOI: 10.1080/03610926.2015.1048885
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    Cited by:

    1. Saisai Ding & Xiaoqin Li & Xiang Dong & Wenzhi Yang, 2020. "The Consistency of the CUSUM-Type Estimator of the Change-Point and Its Application," Mathematics, MDPI, vol. 8(12), pages 1-12, November.

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