The improvement about convergence properties for pairwise NQD random sequences

2013/03/18 by Shi Jianhua, Jianhua, Shi, Chen Xiaoping +1
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.1303.4265

This paper has been withdrawn by the author due to some reasons

arxiv created 2014/02/13 · arxiv updated 2014/02/14

Abstract

In this paper, the improvement about the generalized Kolmogorov-type three series theorem, in the case of NQD random variables, is obtained by different method. Furthermore, the generalized Kolmogorov-type three series theorem is simplified. From the simplified theorem, related results in Wu (Acta. Math. Sinica. 45(3), 617-624, 2002) and some main results in Shi (Acta. Math. Appl. Sin., 34(1), 122-130, 2011) and Li et al. (J. Math. Anal. Appl., 344, 741-747, 2008) are also discussed or improved in the article.

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