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Complete convergence for arrays of rowwise negatively orthant dependent random variables

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Aims and scope Submit manuscript

Abstract

Let {X ni , i ≥ 1, n ≥ 1} be an array of rowwise negatively orthant dependent random variables. Some sufficient conditions for complete convergence for arrays of rowwise negatively orthant dependent random variables are presented without assumptions of identical distribution. As an application, the Marcinkiewicz–Zygmund type strong law of large numbers for weighted sums of negatively orthant dependent random variables is obtained.

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Authors and Affiliations

  1. School of Mathematical Science, Anhui University, Hefei, 230039, China

    Xuejun Wang, Shuhe Hu & Wenzhi Yang

Authors
  1. Xuejun Wang
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  2. Shuhe Hu
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  3. Wenzhi Yang
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Correspondence to Xuejun Wang.

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Supported by the NNSF of China (11171001), Provincial Natural Science Research Project of Anhui Colleges (KJ2010A005), Talents Youth Fund of Anhui Province Universities (2010SQRL016ZD), Youth Science Research Fund of Anhui University (2009QN011A) and the Academic innovation team of Anhui University (KJTD001B).

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Wang, X., Hu, S. & Yang, W. Complete convergence for arrays of rowwise negatively orthant dependent random variables. RACSAM 106, 235–245 (2012). https://doi.org/10.1007/s13398-011-0048-0

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  • DOI: https://doi.org/10.1007/s13398-011-0048-0

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