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ON THE INVARIANCE OF ISOMETRY UNDER UNEQUAL SCALE CHANGES

 

作者: Ian R. James,  

 

期刊: Australian Journal of Statistics  (WILEY Available online 1985)
卷期: Volume 27, issue 1  

页码: 96-101

 

ISSN:0004-9581

 

年代: 1985

 

DOI:10.1111/j.1467-842X.1985.tb00551.x

 

出版商: Blackwell Publishing Ltd

 

关键词: Size variables;Shape variables;Isometry;Neutrality;Cauchy's equation

 

数据来源: WILEY

 

摘要:

SummaryIsometry is the independence of a size variableG(X) and shape. This note characterizesG(X) =γΦXb1ias the only continuous size variable for which isometry with respect to G can continue to hold for all unequal changes of scale of the variablesXi, assuming some conditions on the ranges of theX

 

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