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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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