Archimedes, Gauss, and Stein

Details Archimedes, Gauss, and Stein Archimedes, Gauss, and Stein

2012-01-21

arxiv.org/abs/1201.4422v1

Mathematics

Probability

13 pages, 2 figures

Scientific paper

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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