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Strong laws of large numbers for weighted sums of asymptotically almost negatively associated 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

In this article, the strong law of large numbers for weighted sums of asymptotically almost negatively associated (AANA, in short) random variables is obtained. Some sufficient conditions for the strong law of large numbers of random variables are presented. In addition, the results of the paper generalize and improve earlier ones of Chung (Am J Math 69:189–192, 1947) and Teicher (Proc Natl Acad Sci USA 59:705–707, 1968).

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Acknowledgments

The authors are most grateful to the Editor-in-Chief Manuel Lopez Pellicer and anonymous referee for careful reading of the manuscript and valuable suggestions which helped in improving an earlier version of this paper.

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Authors and Affiliations

  1. School of Mathematical Science, Anhui University, Hefei, 230601, People’s Republic of China

    Zhiyong Chen, Xuejun Wang & Shuhe Hu

Authors
  1. Zhiyong Chen
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  2. Xuejun Wang
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  3. Shuhe Hu
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Corresponding author

Correspondence to Xuejun Wang.

Additional information

Supported by the National Natural Science Foundation of China (11171001, 11201001, 11126176) and the Natural Science Foundation of Anhui Province (1208085QA03, 1308085QA03, 1408085QA02), Research Teaching Model Curriculum of Anhui University (xjyjkc1407) and the Students Innovative Training Project of Anhui University (201410357117, 201410357249).

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Chen, Z., Wang, X. & Hu, S. Strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables. RACSAM 109, 135–152 (2015). https://doi.org/10.1007/s13398-014-0174-6

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  • DOI: https://doi.org/10.1007/s13398-014-0174-6

Keywords

Mathematics Subject Classification (2000)

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