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
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Objekttyp
- Arbeitspapier
Beteiligte
- Pelenis, Justinas
- Institute for Advanced Studies (IHS)
Entstanden
- 2012
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