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| 引用本文： | ������,�����. �������������������������������ʼ���ǿ��������[J]. 应用概率统计, 2019, 35(1): 63-72. DOI: 10.3969/j.issn.1001-4268.2019.01.005 |
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| 作者姓名： | ������ ����� |
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| 作者单位： | ????????????, ???, 210094; ?????????????????, ???, 210023 |
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| 摘 要： |
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| 关 键 词： | ?????????????? ?????????? ????????? ????????? |
The Properties and Strong Law of Large Numbers for Weakly Negatively Dependent Random Variables under Sublinear Expectations |
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| CHEN Xiaoyan,XU Xiaoming. The Properties and Strong Law of Large Numbers for Weakly Negatively Dependent Random Variables under Sublinear Expectations[J]. Chinese Journal of Applied Probability and Statisties, 2019, 35(1): 63-72. DOI: 10.3969/j.issn.1001-4268.2019.01.005 |
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| Authors: | CHEN Xiaoyan XU Xiaoming |
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| Affiliation: | School of Science, Nanjing University of Science and Technology, Nanjing, 210094, China; School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China |
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| Abstract: | Strong laws of large numbers play key role in nonadditive probability theory. Recently, there are many research papers about strong laws of large numbers for independently and identically distributed (or negatively dependent) random variables in the framework of nonadditive probabilities (or nonlinear expectations). This paper introduces a concept of weakly negatively dependent random variables and investigates the properties of such kind of random variables under aframework of nonadditive probabilities and sublinear expectations. A strong law of large numbers is also proved for weakly negatively dependent random variables under a kind of sublinear expectation as an application |
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| Keywords: | weakly negatively dependent random variables sublinear expectation,nonadditive probability,strong law of large numbers, |
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