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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