A note on an SLLN of Dvoretzky–Erdös Type

Jiansheng Xie and Ruisong Zhou

Statistics & Probability Letters, 2023, vol. 195, issue C

Abstract: In this note we present a simple approach to SLLN. The original approach implicitly appeared in a joint work of Dvoretzky and Erdös in 1950, which was recorded by the first author in other co-works over sixty years later. We prove the redundancy of a condition in the previously recorded statement of the result, obtaining the current simpler one.

Keywords: Strong law of large numbers; The second Borel–Cantelli lemma; The Borel–Cantelli lemma; Chebyshev’s inequality (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1016/j.spl.2022.109769

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