We quantify the elementary Borel-Cantelli Lemma by higher moments of the overlap count statistic in terms of the weighted summability of the probabilities. Applications include mean deviation frequencies in the Strong Law and the Law of the Iterated Logarithm.

翻译：我们用重叠统计的较高时间,从概率的加权总和角度对Borel-Cantelli Lemma基数进行量化,应用包括《强法》和《迭代对数法》中的平均偏差频率。