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The Three Sigma Rule

 

作者: Friedrich Pukelsheim,  

 

期刊: The American Statistician  （Taylor Available online 1994）
卷期: Volume 48, issue 2  

页码: 88-91

 

ISSN:0003-1305

 

年代: 1994

 

DOI:10.1080/00031305.1994.10476030

 

出版商: Taylor & Francis Group

 

关键词: Bienaymé-Chebyshev inequality;Gauss inequality;Vysochanskiĭ-Petunin inequality

 

数据来源: Taylor

 

摘要:

For random variables with a unimodal Legesgue density, the 3[sgrave] 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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