Spatially Dependent Bayesian Modeling of Geostatistics Data and Its Application for Tuberculosis (TB) in China

Zongyuan Xia, Bo Tang, Long Qin, Huiguo Zhang and Xijian Hu ()
Additional contact information
Zongyuan Xia: College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China
Bo Tang: Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA
Long Qin: EClinCloud (Shenzhen) Technology Co., Ltd., Shenzhen 518000, China
Huiguo Zhang: College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China
Xijian Hu: College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China

Mathematics, 2023, vol. 11, issue 19, 1-15

Abstract: Geostatistics data in regions always have highly spatial heterogeneous, yet the regional features of the data itself cannot be ignored. In this paper, a novel latent Bayesian spatial model is proposed, which incorporates the spatial dependence of different subjects and the spatial random effects to further analysis the influence of spatial effect. The model is verified to be compatible with the integrated nested Laplace approximation (INLA) framework and is fitted using INLA and stochastic partial differential equation (SPDE). The posterior marginal distribution of parameters is estimated with high precision. Additionally, a practical application of the model is presented using tuberculosis (TB) incidence data in China from 2015 to 2019. The results show that the fitting accuracy of our model is higher than the general Bayesian spatial model using INLA-SPDE.

Keywords: geostatistics; spatial denpendence; nonparametric; Bayesian spatial model; INLA-SPDE (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/19/4193/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/19/4193/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:19:p:4193-:d:1255182

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().