Confidence Intervals for a Normal Coefficient of Variation
作者:
MarkG. Vangel,
期刊:
The American Statistician
(Taylor Available online 1996)
卷期:
Volume 50,
issue 1
页码: 21-26
ISSN:0003-1305
年代: 1996
DOI:10.1080/00031305.1996.10473537
出版商: Taylor & Francis Group
关键词: Chi-squared approximation;Noncentraltdistribution;McKay's approximation.
数据来源: Taylor
摘要:
This article presents an analysis of the small-sample distribution of a class of approximate pivotal quantities for a normal coefficient of variation that contains the approximations of McKay, David, the “naïve” approximate interval obtained by dividing the usual confidence interval on the standard deviation by the sample mean, and a new interval closely related to McKay. For any approximation in this class, a series is given fore(t)the difference between the cdf's of the approximate pivot and the reference distribution. Let κ denote the population coefficient of variation. For McKay, David, and the “naïve” intervale(t)=O(κ2), while for the new proceduree(t)=O(κ4).
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