关于容度下Borel-Cantelli引理的一点注记

A Note on the Borel-Cantelli Lemma for Capacity

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.

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.