Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (4): 499-504.

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On Moments of the Maximum of Normed Partial Sums of ρ-mixing Random Variables

  

  1. 1. Management Committee Office, Zhaoqing High-Tech Zone2. School of Sciences, Guilin University of Technology3. Dawang Middle School, Zhaoqing High-Tech Zone

  • Received:2008-03-21 Online:2011-12-30 Published:2023-04-13
  • About author:TAN Cheng-liang(1982-), male, native of Zhuzhou, Hunan, M.S.D., engages in probability limit theory and numerical calculation.
  • Supported by:
    Supported by the National Science Foundation of China(10661006); Supported by Innovation Project of Guangxi Graduate Education(2007105960812M18);

Abstract: In this paper, we obtain the moment conditions for the supermun of normed sums of ρ--mixing random variables by using the Rosenthal-type inequality for Maximum partial sums of ρ--mixing random variables. The result obtained generalize the results of Chen(2008) and extend those to negatively associated sequences and ρ--mixing random variables.

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