Archimedes, Gauss, and Stein

Jim Pitman; Nathan Ross

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arXiv · 1201.4422

Archimedes, Gauss, and Stein

Jim Pitman·Nathan Ross

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Abstract

We discuss a characterization of the centered Gaussian distribution which can be read from results of Archimedes and Maxwell, and relate it to Charles Stein's well-known characterization of the same distribution. These characterizations fit into a more general framework involving the beta-gamma algebra, which explains some other characterizations appearing in the Stein's method literature.

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Jim Pitman, Nathan Ross. 2012-01-21. Archimedes, Gauss, and Stein. https://arxiv.org/abs/1201.4422

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