Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2017, Vol. 34 ›› Issue (1): 38-46.doi: 10.3969/j.issn.1005-3085.2017.01.005

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Some Limit Theorems for Pairwise NQD Random Sequences

SONG Ming-zhu,   WU Yong-feng   

  1. School of Mathematics and Computer Science, Tongling University, Tongling, Anhui 244000
  • Received:2014-09-15 Accepted:2016-03-02 Online:2017-02-15 Published:2017-04-15
  • Supported by:
    The Key University Science Research Project of Anhui Province (KJ2014A255; KJ2016A705); the Key Project of Anhui Province University Outstanding Youth Talent Support Program (gxyqZD2016317).

Abstract:

In this paper, we study the complete convergence properties and strong laws of large numbers for pairwise NQD random sequences. We present the definition of pairwise NQD random sequences and the Kolmogorov inequality to the case of pairwise NQD random sequences. Based on the Kolmogorov inequality, we obtain complete convergence properties of pairwise NQD random sequences. We construct two non-increasing functions based on the properties of non-increasing function, and obtain some strong laws of large number for pairwise NQD random sequences, which is similar to independent random variable sequences. The theorem obtained in this paper thus inclines to extend the related results presented in previous literatures.

Key words: pairwise NQD random sequences, complete convergence properties, strong laws of large numbers, limit theorems

CLC Number: