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A New Look at the Bayes Procedure

1978/04/01 by Hirotugu Akaike · 1 citation
Engineering · Decision Sciences · Mathematics · #Fault Detection and Control Systems #Advanced Statistical Process Monitoring #Advanced Statistical Methods and Models #Mathematics #Prior probability #Bayes' theorem #Statistical inference #Bayes factor #Inverse-chi-squared distribution #Distribution (mathematics) #Bayesian inference #Categorical distribution #Bayesian probability #Bayesian hierarchical modeling #Bayesian linear regression #Statistics #Probability distribution #Distribution fitting #Mathematical analysis

paper · doi:10.2307/2335276

openalex publication_date 1978/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

In developing an estimate of the distribution of a future observation it becomes natural and necessary to consider a distribution over the space of parameters. This justifies the use of Bayes procedures in statistical inference. An objective procedure of evaluation of the prior distribution in a Bayesian model is developed and the classical ignorance prior distribution is newly interpreted as the locally impartial prior distribution.

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