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On the Representation of Ignorance

 

作者: C. Villegas,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1977)
卷期: Volume 72, issue 359  

页码: 651-654

 

ISSN:0162-1459

 

年代: 1977

 

DOI:10.1080/01621459.1977.10480629

 

出版商: Taylor & Francis Group

 

关键词: Bayesian inference;Ignorance priors;Logical probability

 

数据来源: Taylor

 

摘要:

An invariance principle is used to show that λ−1is the prior density representing ignorance concerning the parameter λ of a Poisson process, and a compatibility principle is applied to find an ignorance prior for the probabilitiespiof the categories in a multinomial model. It is shown that IIpi−1is the only positive and exchangeable prior that satisfies the compatibility condition.

 

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