THE 3-SIGMA-RULE

被引：786

作者：

PUKELSHEIM, F

机构：

来源：

AMERICAN STATISTICIAN | 1994年 / 48卷 / 02期

关键词：

BIENAYME-CHEBYSHEV INEQUALITY; GAUSS INEQUALITY; VYSOCHANSKII-PETUNIN INEQUALITY;

D O I：

10.2307/2684253

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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

引用

页码：88 / 91

页数：4

共 17 条

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