Statistical Modelling 23 (3) (2023), 273–293
Bayesian clustered coefficients regression with auxiliary covariates assistant random effects
Guanyu Hu,
Department of Statistics,
University of Missouri Columbia,
Columbia, MO,
USA.
Yishu Xue,
Department of Statistics,
University of Connecticut,
Storrs, CT,
USA.
Zhihua Ma,
College of Economics,
Shenzhen University,
Shenzhen 518060,
China.
mazh1993@outlook.com
Abstract:
In regional economics research, a problem of interest is to detect similarities between regions, and estimate their shared coefficients in economics models. In this article, we propose a mixture of finite mixtures (MFM) clustered regression model with auxiliary covariates that account for similarities in demographic or economic characteristics over a spatial domain. Our Bayesian construction provides both inference for number of clusters and clustering configurations, and estimation for parameters for each cluster. Empirical performance of the proposed model is illustrated through simulation experiments, and further applied to a study of influential factors for monthly housing cost in Georgia.
Keywords:
housing cost data, MCMC, Mixture of finite mixture, spatial clustering
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