Model selection with vague prior information

Elias Moreno; F. Javier Girón; M. Lina Martínez

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales (1998)

  • Volume: 92, Issue: 4, page 289-298
  • ISSN: 1137-2141

Abstract

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In the Bayesian approach, the Bayes factor is the main tool for model selection and hypothesis testing. When prior information is weak, "default" or "automatic" priors, which are typicaIly improper, are commonly used but, unfortunately, the Bayes factor is defined up to a multiplicative constant. In this paper we revise some recent but already popular methodologies, intrinsic and lractional, to deal with improper priors in model selection and hypothesis testing. Special attention is paid to the intrinsic and fractional methods as tools devised to produce proper priors to compute actual Bayes factors. Sorne illustration to hypothesis testing problems with more than one population are given, in particular the Behrens- Fisher problem is considered.

How to cite

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Moreno, Elias, Girón, F. Javier, and Martínez, M. Lina. "Model selection with vague prior information." Revista de la Real Academia de Ciencias Exactas Físicas y Naturales 92.4 (1998): 289-298. <http://eudml.org/doc/42110>.

@article{Moreno1998,
abstract = {In the Bayesian approach, the Bayes factor is the main tool for model selection and hypothesis testing. When prior information is weak, "default" or "automatic" priors, which are typicaIly improper, are commonly used but, unfortunately, the Bayes factor is defined up to a multiplicative constant. In this paper we revise some recent but already popular methodologies, intrinsic and lractional, to deal with improper priors in model selection and hypothesis testing. Special attention is paid to the intrinsic and fractional methods as tools devised to produce proper priors to compute actual Bayes factors. Sorne illustration to hypothesis testing problems with more than one population are given, in particular the Behrens- Fisher problem is considered.},
author = {Moreno, Elias, Girón, F. Javier, Martínez, M. Lina},
journal = {Revista de la Real Academia de Ciencias Exactas Físicas y Naturales},
language = {eng},
number = {4},
pages = {289-298},
title = {Model selection with vague prior information},
url = {http://eudml.org/doc/42110},
volume = {92},
year = {1998},
}

TY - JOUR
AU - Moreno, Elias
AU - Girón, F. Javier
AU - Martínez, M. Lina
TI - Model selection with vague prior information
JO - Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
PY - 1998
VL - 92
IS - 4
SP - 289
EP - 298
AB - In the Bayesian approach, the Bayes factor is the main tool for model selection and hypothesis testing. When prior information is weak, "default" or "automatic" priors, which are typicaIly improper, are commonly used but, unfortunately, the Bayes factor is defined up to a multiplicative constant. In this paper we revise some recent but already popular methodologies, intrinsic and lractional, to deal with improper priors in model selection and hypothesis testing. Special attention is paid to the intrinsic and fractional methods as tools devised to produce proper priors to compute actual Bayes factors. Sorne illustration to hypothesis testing problems with more than one population are given, in particular the Behrens- Fisher problem is considered.
LA - eng
UR - http://eudml.org/doc/42110
ER -

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