Journal of Jianghan University (Natural Science Edition) ›› 2023, Vol. 51 ›› Issue (4): 17-22.doi: 10.16389/j.cnki.cn42-1737/n.2023.04.002

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Equivalence of Limit Distributions of a Sum and a Maximum Sum of Pair-wise PQD Sequences

YANG Wenquan   

  1. School of Artificial Intelligence,Jianghan University,Wuhan 430056,Hubei,China
  • Published:2023-08-19

Abstract: We prove the equivalence of limit distributions of a sum and a maximum sum of pair-wise PQD sequences on the condition of exiting finite variances. That is,the result of Kruglov(1999)is also valid for pair-wise PQD sequences.

Key words: pair-wise PQD sequences, limit distributions of maximum sum, moment inequality

CLC Number: