关于容度下Borel-Cantelli引理的一点注记(英文) 被引量：1

A Note on the Borel-Cantelli Lemma for Capacity

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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. 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.

作者张德飞段星德

机构地区红河学院数学学院楚雄师范学院数学与统计学院

出处《应用概率统计》 CSCD 北大核心 2014年第5期469-475,共7页 Chinese Journal of Applied Probability and Statistics

基金 supported by National Science Foundation of China(11301160) Natural Science Foundation of Yunnan Province(2013FZ116,2011C120) Reserve Talents Foundations of Honghe University(2014HB0204,ZYDT1308,ZDKC1111) Doctor Foundation of Honghe University(14bs18) Academic Backbone Training for Chuxiong Normal School(13XJGG01)

关键词容度 Borel—Cantelli引理次线性期望两两独立. Capacity, Borel-Cantelli lemma, sublinear expectation, pairwise independence.

分类号 O211.1 [理学—概率论与数理统计] O211.9 [理学—概率论与数理统计]

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参考文献11

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同被引文献2

1PENG ShiGe Institute of Mathematics,Shandong University,Jinan 250100,China.Survey on normal distributions,central limit theorem,Brownian motion and the related stochastic calculus under sublinear expectations[J].Science China Mathematics,2009,52(7):1391-1411. 被引量：55
2宋丽.容度的Borel-Cantelli引理[J].山东大学学报（理学版）,2012,47(6):117-120. 被引量：1

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关于容度下Borel-Cantelli引理的一点注记(英文) 被引量：1

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