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Some Baum–Katz type results for \({\varphi}\) -mixing random variables with different distributions

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Abstract

In the paper, we present some Baum–Katz type results for \({\varphi}\) -mixing random variables with different distributions. Partial results generalize the corresponding one of Shao (Acta Math Sin 31(6):736–747, 1988). In addition, the Marcinkiewicz strong law of large numbers for \({\varphi}\) -mixing random variables with different distributions is obtained.

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Authors and Affiliations

  1. School of Mathematical Science, Anhui University, Hefei, 230039, People’s Republic of China

    Xuejun Wang & Shuhe Hu

Authors
  1. Xuejun Wang
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  2. Shuhe Hu
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Correspondence to Shuhe Hu.

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Supported by the NNSF of China (11171001, 11126176), 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 Academic innovation team of Anhui University (KJTD001B).

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Wang, X., Hu, S. Some Baum–Katz type results for \({\varphi}\) -mixing random variables with different distributions. RACSAM 106, 321–331 (2012). https://doi.org/10.1007/s13398-011-0056-0

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  • DOI: https://doi.org/10.1007/s13398-011-0056-0

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