Published

2022-07-14

Spatial Econometric Models: A Bayesian Approach

Modelos econométricos espaciales: una aproximación bayesiana

DOI:

https://doi.org/10.15446/rce.v45n2.92390

Keywords:

Spatial econometric models; SAR models; CAR models; Bayesian methods. (en)
Modelos econométricos espaciales, Modelos SAR, Modelos CAR, Métodos bayesianos (es)

Downloads

Authors

  • Edilberto Cepeda-Cuervo Universidad Nacional de Colombia
  • Jorge Armando Sicacha Universidad Nacional de Colombia

In this paper we propose Bayesian methods to fit econometric regression models, including those where the variability is assumed to follow a regression structure. We formulate the main functions of the statistical R-package BSPADATA, developed according to the proposed methods to obtain posteriori parameter inferences. After that, we include results of simulated studies to illustrate the use of this package and the performance of the proposed methods. Finally, we provide studies to illustrate the applications of the models and compare our results with that obtained by maximum likelihood.

En este artículo proponemos métodos bayesianos para ajustar modelos de regresión econométrica, incluidos aquellos en los que la variabilidad sigue una estructura de regresión. Formulamos las principales funciones del Rpackage estadístico BSPADATA, desarrollado según los métodos propuestos para obtener inferencias de parámetros a posteriori. Luego, incluimos resultados de estudios de simulación para ilustrar el uso de este paquete y el desempeño de los métodos propuestos. Finalmente, proporcionamos estudios para ilustrar las aplicaciones de los modelos y comparamos nuestros resultados con los obtenidos por máxima verosimilitud.

References

A., W. L. & A., G. C. (2004), Applied Spatial Statistics for Public Health Data, Wiley series in probability and statistics, 1 edn, John Wiley & Sons.

Anselin, L. (1980), 'Estimation methods for spatial autoregressive structures', Regional Science Dissertation and Monograph 8.

Anselin, L. (1982), 'A note on small sample properties of estimators in a first-order spatial autoregressive model', Environment and Planning A 14. DOI: https://doi.org/10.1068/a141023

Anselin, L. (1988), Spatial Econometrics: Methods and Models, Kluwer Academic, Boston. DOI: https://doi.org/10.1007/978-94-015-7799-1

Anselin, L. (2001), 'Spatial econometrics', A companion to theoretical econometrics pp. 310-330. DOI: https://doi.org/10.1002/9780470996249.ch15

Cepeda-Cuervo, E. (2001), 'Modelagem da Variabilidade em Modelos Lineales Generalizados', (Unpublished PhD thesis. Univerisidade Federal de Rio de Janeiro,Brazil) .

Cepeda-Cuervo, E. & Gamerman, D. (2000), 'Bayesian modeling of variance heterogeneity in normal regression models', Brazilian Journal of Probability and Statistics pp. 207-221.

Cepeda-Cuervo, E. & Gamerman, D. (2005), 'Bayesian methodology for modeling parameters in the two parameters exponential family', Revista Estadística 57, 93-105.

Gangnon, R. & Clayton, M. (1998), Bayesian Spatial Disease Clustering: An Application, Technical report, Department of Biostatistics, University of Wisconsin, Madison.

Hepple, L. W. (1979), 'Bayesian analysis of the linear model with spatial dependence', In Exploratory and explanatory statistical analysis of spatial dataSpringer, Dordrecht pp. 179-199. DOI: https://doi.org/10.1007/978-94-009-9233-7_7

LeSage, J. (1997), 'Bayesian Estimation of Spatial Autoregressive Models', Journal of Composite Materials 16(4), 928-940.

LeSage, J. & Pace, R. K. (2009), Introduction to Spatial Econometrics, Chapman & Hall/CRC, Boca Raton. DOI: https://doi.org/10.1201/9781420064254

Neath, A. A. & Cavanaugh, J. E. (2012), 'The bayesian information criterion: background, derivation, and applications', Wiley Interdisciplinary Reviews: Computational Statistics 4. DOI: https://doi.org/10.1002/wics.199

R Core Team (2014), R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria. http://www.R-project.org/

Waller, L. (1996), 'Statistical power and design of focused clustering studies', Statistics in Medicine (15), 765-782. DOI: https://doi.org/10.1002/(SICI)1097-0258(19960415)15:7/9<765::AID-SIM248>3.0.CO;2-N

How to Cite

APA

Cepeda-Cuervo, E. and Armando Sicacha, J. . (2022). Spatial Econometric Models: A Bayesian Approach. Revista Colombiana de Estadística, 45(2), 341–361. https://doi.org/10.15446/rce.v45n2.92390

ACM

[1]
Cepeda-Cuervo, E. and Armando Sicacha, J. 2022. Spatial Econometric Models: A Bayesian Approach. Revista Colombiana de Estadística. 45, 2 (Jul. 2022), 341–361. DOI:https://doi.org/10.15446/rce.v45n2.92390.

ACS

(1)
Cepeda-Cuervo, E.; Armando Sicacha, J. . Spatial Econometric Models: A Bayesian Approach. Rev. colomb. estad. 2022, 45, 341-361.

ABNT

CEPEDA-CUERVO, E.; ARMANDO SICACHA, J. . Spatial Econometric Models: A Bayesian Approach. Revista Colombiana de Estadística, [S. l.], v. 45, n. 2, p. 341–361, 2022. DOI: 10.15446/rce.v45n2.92390. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/92390. Acesso em: 28 jan. 2025.

Chicago

Cepeda-Cuervo, Edilberto, and Jorge Armando Sicacha. 2022. “Spatial Econometric Models: A Bayesian Approach”. Revista Colombiana De Estadística 45 (2):341-61. https://doi.org/10.15446/rce.v45n2.92390.

Harvard

Cepeda-Cuervo, E. and Armando Sicacha, J. . (2022) “Spatial Econometric Models: A Bayesian Approach”, Revista Colombiana de Estadística, 45(2), pp. 341–361. doi: 10.15446/rce.v45n2.92390.

IEEE

[1]
E. Cepeda-Cuervo and J. . Armando Sicacha, “Spatial Econometric Models: A Bayesian Approach”, Rev. colomb. estad., vol. 45, no. 2, pp. 341–361, Jul. 2022.

MLA

Cepeda-Cuervo, E., and J. . Armando Sicacha. “Spatial Econometric Models: A Bayesian Approach”. Revista Colombiana de Estadística, vol. 45, no. 2, July 2022, pp. 341-6, doi:10.15446/rce.v45n2.92390.

Turabian

Cepeda-Cuervo, Edilberto, and Jorge Armando Sicacha. “Spatial Econometric Models: A Bayesian Approach”. Revista Colombiana de Estadística 45, no. 2 (July 14, 2022): 341–361. Accessed January 28, 2025. https://revistas.unal.edu.co/index.php/estad/article/view/92390.

Vancouver

1.
Cepeda-Cuervo E, Armando Sicacha J. Spatial Econometric Models: A Bayesian Approach. Rev. colomb. estad. [Internet]. 2022 Jul. 14 [cited 2025 Jan. 28];45(2):341-6. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/92390

Download Citation

CrossRef Cited-by

CrossRef citations0

Dimensions

PlumX

Article abstract page views

352

Downloads

Download data is not yet available.