Weak independence of events and the converse of the Borel--Cantelli Lemma

Csaba Biró, Israel R. Curbelo

The converse of the Borel-Cantelli Lemma states that if $\{A_i{\}}_{i=1}^{\infty }$ is a sequence of independent events such that $\sum P(A_i)=\infty$, then almost surely infinitely man…