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Information consistency of the Jeffreys power-expected-posterior prior in Gaussian linear models

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  • Dimitris Fouskakis

    () (National Technical University of Athens)

  • Ioannis Ntzoufras

    () (Athens University of Economics and Business)

Abstract

Power-expected-posterior (PEP) priors have been recently introduced as generalized versions of the expected-posterior-priors (EPPs) for variable selection in Gaussian linear models. They are minimally-informative priors that reduce the effect of training samples under the EPP approach, by combining ideas from the power-prior and unit-information-prior methodologies. In this paper we prove the information consistency of the PEP methodology, when using the independence Jeffreys as a baseline prior, for the variable selection problem in normal linear models.

Suggested Citation

  • Dimitris Fouskakis & Ioannis Ntzoufras, 2017. "Information consistency of the Jeffreys power-expected-posterior prior in Gaussian linear models," METRON, Springer;Sapienza Università di Roma, vol. 75(3), pages 371-380, December.
  • Handle: RePEc:spr:metron:v:75:y:2017:i:3:d:10.1007_s40300-017-0110-6
    DOI: 10.1007/s40300-017-0110-6
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    References listed on IDEAS

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    1. Casella, George & Moreno, Elias, 2006. "Objective Bayesian Variable Selection," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 157-167, March.
    2. Elías Moreno & F. Girón, 2008. "Comparison of Bayesian objective procedures for variable selection in linear regression," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(3), pages 472-490, November.
    3. Elías Moreno & F. Girón, 2008. "Comparison of Bayesian objective procedures for variable selection in linear regression," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(3), pages 491-492, November.
    4. Liang, Feng & Paulo, Rui & Molina, German & Clyde, Merlise A. & Berger, Jim O., 2008. "Mixtures of g Priors for Bayesian Variable Selection," Journal of the American Statistical Association, American Statistical Association, vol. 103, pages 410-423, March.
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    Cited by:

    1. D. Fouskakis, 2019. "Priors via imaginary training samples of sufficient statistics for objective Bayesian hypothesis testing," METRON, Springer;Sapienza Università di Roma, vol. 77(3), pages 179-199, December.

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