Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (5): 1149-1153.

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Precise Asymptotics of Complete Moment Convergence for Pairwise NQD Sequences

LU Zhexin1, TAN Xili1, ZHANG Yong2, LIU Tianze1   

  1. 1. College of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China;
    2. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2020-01-22 Online:2020-09-26 Published:2020-11-18

Abstract: Let {Xn, n≥1} be an identically distributed  pairwise negatively quadrant dependent (NQD) sequence  with mean zero. Under suitable conditions, using the cental limit theorem and moment inequality of pairwise NQD sequences, we gave general function formula for the precise asymptotics of the complete moment convergence of the partial sums for pairwise NQD sequences in the logarithm law.

Key words: pairwise NQD sequences, complete moment convergence, precise asymptotics

CLC Number: 

  • O211.4