Bayesian Model Averaging Using Power-Expected-Posterior Priors

This paper focuses on the Bayesian model average (BMA) using the power–expected– posterior prior in objective Bayesian variable selection under normal linear models. We derive a BMA point estimate of a predicted value, and present computation and evaluation strategies of the prediction accuracy. We...

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Main Authors: Dimitris Fouskakis, Ioannis Ntzoufras
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Econometrics
Subjects:
Online Access:https://www.mdpi.com/2225-1146/8/2/17
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author Dimitris Fouskakis
Ioannis Ntzoufras
author_facet Dimitris Fouskakis
Ioannis Ntzoufras
author_sort Dimitris Fouskakis
collection DOAJ
description This paper focuses on the Bayesian model average (BMA) using the power–expected– posterior prior in objective Bayesian variable selection under normal linear models. We derive a BMA point estimate of a predicted value, and present computation and evaluation strategies of the prediction accuracy. We compare the performance of our method with that of similar approaches in a simulated and a real data example from economics.
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spelling doaj.art-f156ac41e8d74a539320f15f561babe52023-11-20T00:06:53ZengMDPI AGEconometrics2225-11462020-05-01821710.3390/econometrics8020017Bayesian Model Averaging Using Power-Expected-Posterior PriorsDimitris Fouskakis0Ioannis Ntzoufras1Statistics Lab, Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, GreeceComputational and Bayesian Statistics Lab, Department of Statistics, Athens University of Economics and Business, 10434 Athens, GreeceThis paper focuses on the Bayesian model average (BMA) using the power–expected– posterior prior in objective Bayesian variable selection under normal linear models. We derive a BMA point estimate of a predicted value, and present computation and evaluation strategies of the prediction accuracy. We compare the performance of our method with that of similar approaches in a simulated and a real data example from economics.https://www.mdpi.com/2225-1146/8/2/17Bayesian model averagingBayesian variable selectionexpected–posterior priorsimaginary training samplespower–expected–posterior priors
spellingShingle Dimitris Fouskakis
Ioannis Ntzoufras
Bayesian Model Averaging Using Power-Expected-Posterior Priors
Econometrics
Bayesian model averaging
Bayesian variable selection
expected–posterior priors
imaginary training samples
power–expected–posterior priors
title Bayesian Model Averaging Using Power-Expected-Posterior Priors
title_full Bayesian Model Averaging Using Power-Expected-Posterior Priors
title_fullStr Bayesian Model Averaging Using Power-Expected-Posterior Priors
title_full_unstemmed Bayesian Model Averaging Using Power-Expected-Posterior Priors
title_short Bayesian Model Averaging Using Power-Expected-Posterior Priors
title_sort bayesian model averaging using power expected posterior priors
topic Bayesian model averaging
Bayesian variable selection
expected–posterior priors
imaginary training samples
power–expected–posterior priors
url https://www.mdpi.com/2225-1146/8/2/17
work_keys_str_mv AT dimitrisfouskakis bayesianmodelaveragingusingpowerexpectedposteriorpriors
AT ioannisntzoufras bayesianmodelaveragingusingpowerexpectedposteriorpriors