An Elementary Proof of the Law of Iterated Logarithm for Minima and New Extensions of the Borel-Cantelli Lemma

Published in Submitted (Under Review), 2022

Recommended citation: Italo Simonelli and Qixuan Wang. (2022). "An Elementary Proof of the Law of Iterated Logarithm for Minima and New Extensions of the Borel-Cantelli Lemma." Submitted for publication. https://kevinwang676.github.io/files/paper.pdf

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Abstract: We present a new, simple proof of the law of iterated logarithm for minima of uniform random variables and prove new extensions of the Borel-Cantelli Lemma.

Status: Submitted to a journal and currently under review.

Impact: Listed on SSRN’s Top Ten download list for Probability & Statistics eJournal.