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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