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Abstract For random variables with a unimodal Legesgue density, the 3sgrave 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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Friedrich Pukelsheim (Sun,) studied this question.
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The American Statistician
University of Augsburg
Augsburg University
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