A short proof of a certain version of Kolmogorov strong law of large numbers
Gogi R. Pantsulaia
TL;DR
This paper presents a concise proof of a specific version of Kolmogorov's strong law of large numbers, utilizing properties of uniformly distributed sequences, offering an alternative to the original proof.
Contribution
It introduces a novel, shorter proof of a version of Kolmogorov's strong law using properties of uniformly distributed sequences, differing from traditional methods.
Findings
Provides a shorter proof of the law
Utilizes properties of uniformly distributed sequences
Offers an alternative perspective to Kolmogorov's original proof
Abstract
By using the properties of the uniformly distributed sequences of real numbers on , a short proof of a certain version of Kolmogorov strong law of large numbers is presented which essentially differs from Kolmogorov's original proof.
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Taxonomy
TopicsComputability, Logic, AI Algorithms · Probability and Risk Models · Mathematical Approximation and Integration