Intrinsic priors for model comparison in multivariate normal regression

• Autores: Francisco de Asís Torres Ruiz , E. Moreno, Francisco Javier Girón González-Torre
• Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 105, Nº. 2, 2011, págs. 273-289
• Idioma: inglés
• DOI: 10.1007/s13398-011-0033-7
• Texto completo no disponible (Saber más ...)
• Resumen

  • In Moreno et al. (Rev R Acad Cien Ser A Mat 97:53-61, 2003) an objective Bayesian model comparison procedure for univariate normal regression models based on intrinsic priors was provided. However, in many applications the regression models entertained are multidimensional, and hence an extension of the procedure to this setting is required. This technical paper provides the intrinsic priors and their Bayes factors for testing multidimensional normal regression models. The sampling distributions of the sufficient statistic for model comparison are also found when sampling from both the null and the alternative models. This is a key tool for proving consistency of the model selection procedure based on the Bayes factor for intrinsic priors. © 2011 Springer-Verlag.

• Referencias bibliográficas
  • Berger, J.O., Bernardo, J.M., On the development of the reference prior method (1992) Bayesian Statistics, 4, pp. 35-60. , In: Bernardo,...
  • Berger, J.O., Pericchi, L.R., The intrinsic Bayes factor for model selection and prediction (1996) J. Am. Stat. Assoc., 91, pp. 109-122
  • Casella, G., Girón, F.J., Martínez, M.L., Moreno, E., Consistency of Bayesian procedures for variable selection (2009) Ann. Stat., 37, pp....
  • Casella, G., Moreno, E., Objective Bayesian variable selection (2006) J. Am. Stat. Assoc., 101, pp. 157-167
  • Casella, G., Moreno, E., Girón, F.J., (2010) Cluster Analysis Through Model Selection, , submitted)
  • Consonni, G., Veronese, P., Enriched conjugate and reference priors for the Wishart family on symmetric cones (2003) Ann. Stat., 31, pp....
  • Girón, F.J., Martínez, M.L., Moreno, E., Torres, F., Objective testing procedures in linear models: calibration of the p-values (2006) Scand....
  • Girón, F.J., Moreno, E., Comparison of Bayesian objective procedures for variable selection in linear regression (2008) Test, 17, pp. 472-492
  • Girón, F.J., Moreno, E., Casella, G., Objective Bayesian analysis of multiple changepoints for linear models (with discussion) (2007) Bayesian...
  • Girón, F.J., Moreno, E., Casella, G., Martínez, M.L., Consistency of objective Bayes factors for nonnested linear models and increasing model...
  • Girón, F.J., Moreno, E., Martínez, M.L., An objective Bayesian procedure for variable selection in regression (2006) Advances On Distribution...
  • Moreno, E., Bertolino, F., Racugno, W., An intrinsic limiting procedure for model selection and hypothesis testing (1998) J. Am. Stat. Assoc.,...
  • Moreno, E., Girón, F.J., Casella, G., Consistency of objective Bayes tests as the model dimension grows (2010) Ann. Stat., 38 (4), pp. 1937-1952
  • Moreno, E., Girón, F.J., Torres, F., Intrinsic priors for hypothesis testing in normal regression (2003) Rev. R. Acad. Cien. Ser. A. Mat.,...
  • Yang, R., Berger, J.O., Estimation of a covariance matrix using the reference prior (1994) Ann. Stat., 22, pp. 1195-1211