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A characterization of the general mean

 

作者: Samaradasa Weerahandi,   James V. Zidek,  

 

期刊: Canadian Journal of Statistics  （WILEY Available online 1979）
卷期: Volume 7, issue 1  

页码: 83-90

 

ISSN:0319-5724

 

年代: 1979

 

DOI:10.2307/3315018

 

出版商: Wiley‐Blackwell

 

关键词: General mean;St. Petersburg paradox;expected utility hypothesis;Lp norm;functional equation

 

数据来源: WILEY

 

摘要:

AbstractA characterization is given of the general mean which is (∂Xp)1/por exp[log X] forX>0 according as ρ ≠0 or ρ = 0, where ρ is an unspecified parameter. The approach is axiomatic. The general mean is defined as any quantity satisfying certain axioms which embrace the minimal requirements that any reasonable candidate for the role of mean or most typical value should satisfy. The quantity, indexed by p and given above, is uniquely implied by these

 

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