A bilateral inequality on the Borel-Cantelli Lemma

Yuquan Xie

Statistics & Probability Letters, 2008, vol. 78, issue 14, 2052-2057

Abstract: Let A1,A2,... be a sequence of events satisfying the condition , IAi be the indicator function for the event Ai, , Tn=SnI(Sn>0)/ESn; we have an important bilateral inequality as follows: and several of the well-known results on the generalizations of the Borel-Cantelli Lemma are special cases of this result.

Date: 2008
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