The Distribution of a Variate Based on Independent Ranges from a Uniform Population
作者:
GaryC. McDonald,
期刊:
Technometrics
(Taylor Available online 1976)
卷期:
Volume 18,
issue 3
页码: 343-349
ISSN:0040-1706
年代: 1976
DOI:10.1080/00401706.1976.10489455
出版商: Taylor & Francis Group
关键词: Uniform Distribution;Sample Range;Percrntage Points;Subset Selection;Expected Subset Size
数据来源: Taylor
摘要:
The statistic of interest in this article isW=R1/min1 ≤j≤kRjwhereRi,i= 1, …,k, denotekindependent sample ranges from a standard uniform distribution each based on a common sample sizen. Expressions are derived for the distribution function and moments ofW, and a table of percentage points is included for selected valrles ofkandn. The role of the statisticWin the construction of a subset selection procedure is indicated and operating characteristics of the proceduce are derived under a slippage configuration. A numerical example is provided.
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