An Alternate Proof of Samuelson's Inequality and its Extensions
作者:
NicholasR. Farnum,
期刊:
The American Statistician
(Taylor Available online 1989)
卷期:
Volume 43,
issue 1
页码: 46-47
ISSN:0003-1305
年代: 1989
DOI:10.1080/00031305.1989.10475610
出版商: Taylor & Francis Group
关键词: Bounds on order statistics;Outliers
数据来源: Taylor
摘要:
Paul Samuelson and other authors have shown that no element in a population ofnitems can lie farther than (n— 1)½standard deviations from the mean. Other researchers extended this by giving upper and lower bounds for thekth largest item in terms of the population mean and standard deviation. We provide an alternate proof of these results. The technique used in the proof gives insight into the conditions under which the bounds are attained and can be used to improve bounds when additional information is available.
点击下载:
PDF (167KB)
返 回