Some Limit Theorems for Sequences of Pairwise NQD Random Variables |
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Authors: | Gan Shixin Chen Pingyan |
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Institution: | [1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China [2]Department of Mathematics, Jinan University, Guangzhou 510630, China |
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Abstract: | In this article, the authors study some limit properties for sequences of pair- wise NQD random variables, which are not necessarily identically distributed. They obtain Baum and Katz complete convergence and the strong stability of Jamison's weighted sums for pairwise NQD random variables, which may have different distributions. Some well- known results are improved and extended. |
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Keywords: | Pairwise NQD random variable sequence convergence in probability almost sure convergence complete convergence strong stability |
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