Arbeitspapier

Bayesian semiparametric regression

We consider Bayesian estimation of restricted conditional moment models with linear regression as a particular example. The standard practice in the Bayesian literature for semiparametric models is to use flexible families of distributions for the errors and assume that the errors are independent from covariates. However, a model with flexible covariate dependent error distributions should be preferred for the following reasons: consistent estimation of the parameters of interest even if errors and covariates are dependent; possibly superior prediction intervals and more efficient estimation of the parameters under heteroscedasticity. To address these issues, we develop a Bayesian semiparametric model with flexible predictor dependent error densities and with mean restricted by a conditional moment condition. Sufficient conditions to achieve posterior consistency of the regression parameters and conditional error densities are provided. In experiments, the proposed method compares favorably with classical and alternative Bayesian estimation methods for the estimation of the regression coefficients.

Sprache
Englisch

Erschienen in
Series: Reihe Ökonomie / Economics Series ; No. 285

Klassifikation
Wirtschaft
Bayesian Analysis: General
Semiparametric and Nonparametric Methods: General
Thema
Bayesian semiparametrics
Bayesian conditional density estimation
heteroscedastic linear regression
posterior consistency

Ereignis
Geistige Schöpfung
(wer)
Pelenis, Justinas
Ereignis
Veröffentlichung
(wer)
Institute for Advanced Studies (IHS)
(wo)
Vienna
(wann)
2012

Handle
Letzte Aktualisierung
20.09.2024, 08:22 MESZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Pelenis, Justinas
  • Institute for Advanced Studies (IHS)

Entstanden

  • 2012

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