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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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
Keywords
- Arrays of rowwise negatively orthant dependent random variables
- Sequences of negatively orthant dependent random variables
- Marcinkiewicz–Zygmund type strong law of large numbers
- Complete convergence