Chinese Quarterly Journal of Mathematics ›› 2017, Vol. 32 ›› Issue (2): 161-171.doi: 10.13371/j.cnki.chin.q.j.m.2017.02.006

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Complete Convergence for Weighted Sums of \tilde{φ} -mixing Sequence

  

  1. 1. Department of Finance and Economics, Hefei Economic and Trade Tourism School2. Department of Statistics, Anhui University
  • Received:2014-08-23 Online:2017-06-30 Published:2020-10-23
  • About author:LIU Ting-ting(1987-), female, native of Luan, Anhui, an assistant of Hefei Economic and Trade Tourism School, M.S.D., engages in probability theory and mathmatical statistocs.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11671012,11526033,11501004,11501005); Supported by the Natural Science Foundation of Anhui Province(1608085QA02); Supported by the Science Fund for Distinguished Young Scholars of Anhui Province(1508085J06);

Abstract: In this paper, the complete convergence and strong law of large numbers for weighted sums of φ-mixing sequence with different distribution are investigated under some weaker moment conditions. Our results extend ones of independent sequence with identical distribution to the case of φ-mixing sequence with different distribution. 

Key words: weighted sums, \tilde{φ}-mixing sequence, complete convergence, strong law of large numbers

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