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      https://www.ias.ac.in/article/fulltext/pmsc/124/03/0447-0456

    • Keywords

       

      Negatively associated random variables; $L^p$-convergence; Marcinkiewicz–Zygmund strong law of large numbers; order statistics.

    • Abstract

       

      Let $\{X_n,n\geq 1\}$ be a sequence of negatively associated random variables. The aim of this paper is to establish some limit theorems of negatively associated sequence, which include the $L^p$-convergence theorem and Marcinkiewicz–Zygmund strong law of large numbers. Furthermore, we consider the strong law of sums of order statistics, which are sampled from negatively associated random variables.

    • Author Affiliations

       

      Yu Miao1 Wenfei Xu1 Shanshan Chen1 Andre Adler2

      1. College of Mathematics and Information Science, Henan Normal University, Henan Province, 453007, China
      2. Department of Applied Mathematics IIT, Chicago 60657, USA
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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