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    • A note on the weak law of large numbers of Kolmogorov and Feller

      FUQIANG MA YU MIAO JIANYONG MU

      Research Article Volume 130 Published: 10 January 2020 Article ID 0004

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/130/0004

    • Keywords

       

      NQD sequence; weak law of large numbers; moment convergence

    • Abstract

       

      In this paper, we establish the weak laws of large numbers for the negative quadrant-dependent random sequences which extend the classic Kolmogorov–Feller weak law of large numbers. In addition, the moment convergence for the negative quadrant-dependent random sequences are also given.

    • Author Affiliations

       

      FUQIANG MA1 YU MIAO2 JIANYONG MU3

      1. College of Mathematics and Statistics, Pingdingshan University, Pingdingshan 467000, Henan Province, China
      2. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, Henan Province, China
      3. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei Province, China

    • Dates

       
      Published
      10 January 2020
      Manuscript received
      26 March 2018
      Manuscript revised
      16 January 2019
      Accepted
      25 June 2019
      Early published
      Unedited version published online
      Final version published online
      3 January 2020

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      Posted on July 25, 2019

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