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Multiple Bayes Factors for Testing Hypotheses

 

作者: Francesco Bertolino,   Ludovico Piccinato,   Walter Racugno,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1995)
卷期: Volume 90, issue 429  

页码: 213-219

 

ISSN:0162-1459

 

年代: 1995

 

DOI:10.1080/01621459.1995.10476504

 

出版商: Taylor & Francis Group

 

关键词: Hierarchical priors;Monotone priors;Multiple hypotheses;Quantile constraints;Robustness

 

数据来源: Taylor

 

摘要:

Partial and multiple Bayes factors are introduced to obtain pairwise comparisons of hypotheses in a statistical experiment with a partition on the parameter space. Robust Bayesian analyses are performed by introducing suitable classes of priors and by calculating lower and upper bounds of Bayes factors and posterior probabilities. Classes of intuitively meaningful priors are introduced, including unimodal densities without the constraint of symmetry for the case of precise hypotheses. Procedures for the corresponding optimizations are specified, and examples are given.

 

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