corollary of Borel-Cantelli lemma

Under independence, we have an equivalence.

sketch: You have only to think about the counterpositive of the lemmas and use the Kolmogorov 0-1 law or try to do it by contradictionMathworldPlanetmathPlanetmath which is simplier.

Title corollary of Borel-Cantelli lemmaPlanetmathPlanetmath
Canonical name CorollaryOfBorelCantelliLemma
Date of creation 2013-03-22 15:22:09
Last modified on 2013-03-22 15:22:09
Owner renato (9974)
Last modified by renato (9974)
Numerical id 10
Author renato (9974)
Entry type Corollary
Classification msc 60A99