Identifying Groups of Determinants in Bayesian Model Averaging Using Dirichlet Process Clustering

Grün, Bettina ORCID: https://orcid.org/0000-0001-7265-4773 and Hofmarcher, Paul (2021) Identifying Groups of Determinants in Bayesian Model Averaging Using Dirichlet Process Clustering. Scandinavian Journal of Statistics, 48 (3). pp. 1018-1045. ISSN 1467-9469

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Abstract

Model uncertainty is a pervasive problem in regression applications. Bayesian model averaging (BMA) takes model uncertainty into account and identifies robust determinants. However, it requires the specification of suitable model priors. Mixture model priors are appealing because they explicitly account for different groups of covariates as robust determinants. Specific Dirichlet process clustering (DPC) model priors are proposed; their correspondence to the binomial model prior derived and methods to perform the BMA analysis including a DPC postprocessing procedure to identify groups of determinants are outlined. The application of these model priors is demonstrated in a simulation exercise and in an empirical analysis of cross-country economic growth data. The BMA analysis is performed using the Markov chain Monte Carlo model composition sampler to obtain samples from the posterior of the model specifications. Results are compared with those obtained under a beta-binomial and a collinearity-adjusted dilution model prior.

Item Type: Article
Divisions: Departments > Finance, Accounting and Statistics > Statistics and Mathematics
Version of the Document: Published
Depositing User: Gertraud Novotny
Date Deposited: 05 Jul 2021 14:05
Last Modified: 17 Aug 2021 10:30
Related URLs:
FIDES Link: https://bach.wu.ac.at/d/research/results/100626/
URI: https://epub.wu.ac.at/id/eprint/8198

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