| 关于容度下Borel-Cantelli引理的一点注记 |
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| 引用本文： | 张德飞,段星德.关于容度下Borel-Cantelli引理的一点注记[J].应用概率统计,2014,30(5):469-475. |
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| 作者姓名： | 张德飞 段星德 |
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| 作者单位： | 1. 红河学院数学学院,蒙自,661199
2. 楚雄师范学院数学与统计学院,楚雄,675000 |
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| 基金项目： | The project was supported by National Science Foundation of China，Natural Science Foundation of Yunnan Province，Reserve Talents Foundations of Honghe University，Doctor Foundation of Honghe University，Academic Backbone Training for Chuxiong Normal School |
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| 摘 要： | 这个注记中我们证明了在没有两两独立假设条件下对容度的Borel-Cantelli引理,获得了容度对并事件的最优下界.这些结果推广了经典的Borel-Cantelli引理.
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| 关 键 词： | 容度 Borel-Cantelli引理 次线性期望 两两独立 |
A Note on the Borel-Cantelli Lemma for Capacity |
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| ZHANG DEFEI,DUAN XINGDE.A Note on the Borel-Cantelli Lemma for Capacity[J].Chinese Journal of Applied Probability and Statisties,2014,30(5):469-475. |
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| Authors: | ZHANG DEFEI DUAN XINGDE |
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| Institution: | Department of Mathematics, Honghe University; School of Mathematics and Statistics, Chuxiong Normal School |
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| Abstract: | In this note, we prove the Borel-Cantelli lemma for capacity
without pairwise independent assumption. The best lower bound about union for capacity
is obtained. Classical Borel-Cantelli lemma is extended to the case of capacity. |
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| Keywords: | Capacity Borel-Cantelli lemma sublinear expectation pairwise independence |
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