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The Three Sigma Rule

Friedrich Pukelsheim
The American Statistician
Vol. 48, No. 2 (May, 1994), pp. 88-91
DOI: 10.2307/2684253
Stable URL: http://www.jstor.org/stable/2684253
Page Count: 4
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The Three Sigma Rule
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Abstract

For random variables with a unimodal Lebesgue density, the 3σ rule is proved by elementary calculus. It emerges as a special case of the Vysochanskiĭ-Petunin inequality, which in turn is based on the Gauss inequality.

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