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Uniformly Most Powerful Unbiased Tests on the Scale Parameter of a Gamma Distribution With a Nuisance Shape Parameter

 

作者: Max Engelhardt,   LeeJ. Bain,  

 

期刊: Technometrics  （Taylor Available online 1977）
卷期: Volume 19, issue 1  

页码: 77-81

 

ISSN:0040-1706

 

年代: 1977

 

DOI:10.1080/00401706.1977.10489502

 

出版商: Taylor & Francis Group

 

关键词: Gamma Distribution;Scale Parameter;Conditional Tests;Normal Approximation

 

数据来源: Taylor

 

摘要:

Conditional tests on the scale parameter of the gamma distribution with an unknown nuisance shape parameter are considered. Such tests, based upon the conditional distribution of the sample mean x (or equivalentlyWi, = x/x) given the geometric mean x, are uniformly most powerful unbiased tests. Percentage points of the conditional distribution are tabulated for small sample sizes and an asymptotic normal approximation is also obtained.

 

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