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      Approximations for sums of three-valued 1-dependent symmetric random variables

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      Nonlinear Analysis: Modelling and Control
      Vilnius University Press

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          Abstract

          The sum of symmetric three-point 1-dependent nonidentically distributed random variables is approximated by a compound Poisson distribution. The accuracy of approximation is estimated in the local and total variation norms. For distributions uniformly bounded from zero,the accuracy of approximation is of the order O(n–1). In the general case of triangular arrays of identically distributed summands, the accuracy is at least of the order O(n–1/2). Nonuniform estimates are obtained for distribution functions and probabilities. The characteristic functionmethod is used.  

          Author and article information

          Journal
          Nonlinear Analysis: Modelling and Control
          NAMC
          Vilnius University Press
          2335-8963
          1392-5113
          June 30 2020
          July 01 2020
          : 25
          : 4
          Article
          10.15388/namc.2020.25.16843
          c122ac5d-0405-45c4-a8be-72c4409de718
          © 2020

          All content is freely available without charge to users or their institutions. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission of the publisher or the author. Articles published in the journal are distributed under a http://creativecommons.org/licenses/by/4.0/.

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          Linguistics & Semiotics,Social & Behavioral Sciences,Law,Mathematics,History,Philosophy

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