Strong convergence of pairwise NQD random sequences |
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Authors: | Rui Li Weiguo Yang |
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Institution: | a Department of Mathematics, Taiyuan Normal College, Taiyuan 030012, China b Faculty of Science, Jiangsu University, Zhenjiang 212013, China |
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Abstract: | Strong limit theory is one of the most important problems in probability theory. Some results on the convergence of pairwise NQD random sequences have been presented. This paper further analyzes the strong convergence of pairwise NQD sequences and generalizes partial results of Wu Q.Y. Wu, Convergence properties of pairwise NQD random sequences, Acta Math. Sinica 45 (3) (2002) 617-624 (in Chinese)]. Since no general moment inequalities are given as so far, we avoid this problem and obtain a class of strong limit theorem for NQD sequences and some corresponding conclusions by use of truncation methods and generalized three series theorem, which are the supplements to the previous fruits. |
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Keywords: | Pairwise NQD random variables Strong convergence Generalized three series theorem Cr-inequality |
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