The Three Sigma Rule
作者： Friedrich Pukelsheim
DOI: 10.1080/00031305.1994.10476030
关键词: Gauss's inequality 、 Mathematics 、 Rearrangement inequality 、 Log sum inequality 、 Chebyshev's inequality 、 Special case 、 Reciprocal rule 、 Unimodality 、 Calculus 、 Pure mathematics 、 Gauss
摘要: Abstract For random variables with a unimodal Legesgue density, the 3[sgrave] rule is proved by elementary calculus. It emerges as special case of Vysochanskiĭ-Petunin inequality, which in turn based on Gauss inequality.
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