On the rate of convergence in the strong law of large numbers for negatively orthant-dependent random variables |
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| Authors: | Aiting Shen Ying Zhang Andrei Volodin |
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| Institution: | 1. School of Mathematical Sciences, Anhui University, Hefei, P.R. Chinashenaiting1114@126.com;3. School of Mathematical Sciences, Anhui University, Hefei, P.R. China;4. Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, Canada |
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| Abstract: | ABSTRACTIn this paper, we study the complete convergence and complete moment convergence for negatively orthant-dependent random variables. Especially, we obtain the Hsu–Robbins-type theorem for negatively orthant-dependent random variables. Our results generalize the corresponding ones for independent random variables. |
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| Keywords: | Complete convergence Hsu–Robbins-type theorem NOD random variables |
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