Journal
SYMMETRY-BASEL
Volume 14, Issue 6, Pages -Publisher
MDPI
DOI: 10.3390/sym14061175
Keywords
spatial autoregressive models; quantile regression; partially linear varying coefficient; Bayesian P-splines; Markov chain Monte Carlo
Categories
Funding
- Natural Science Foundation of China [12001105]
- Post-doctoral Science Foundation of China [2019M660156]
- Natural Science Foundation of Fujian Province [2021J01662]
- Humanities and Social Sciences Youth Foundation of Ministry of Education of China [19YJC790051]
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This paper introduces a model method for spatial data using Bayesian P-splines quantile regression, and evaluates the linear and nonlinear effects of covariates on the response. Through simulations and empirical applications, it is demonstrated that this method is more robust and effective compared to other estimators in handling this type of data.
This paper deals with spatial data that can be modelled by partially linear varying coefficient spatial autoregressive models with Bayesian P-splines quantile regression. We evaluate the linear and nonlinear effects of covariates on the response and use quantile regression to present comprehensive information at different quantiles. We not only propose an empirical Bayesian approach of quantile regression using the asymmetric Laplace error distribution and employ P-splines to approximate nonparametric components but also develop an efficient Markov chain Monte Carlo technique to explore the joint posterior distributions of unknown parameters. Monte Carlo simulations show that our estimators not only have robustness for different spatial weight matrices but also perform better compared with quantile regression and instrumental variable quantile regression estimators in finite samples at different quantiles. Finally, a set of Sydney real estate data applications is analysed to illustrate the performance of the proposed method.
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