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The outlier behaviour of distributions and the decay of power of optimal tests at decreasing level

 

作者: Rudolf Mathar,  

 

期刊: Statistics  （Taylor Available online 1989）
卷期: Volume 20, issue 2  

页码: 247-254

 

ISSN:0233-1888

 

年代: 1989

 

DOI:10.1080/02331888908802167

 

出版商: Akademie-Verlag

 

关键词: Outliers;location and scale families;NEYMAN–EARSON test

 

数据来源: Taylor

 

摘要:

The aim of this paper is to combine the outlier–behaviour of certain distribution families and the ability of a most powerful level–α–test to separate hypotheses in these families for small α. It turns out that certain location families are well separable in this sense if and only if the underlying distribution is outlier–resistant. Analogous results hold for certain scale families

 

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