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Original Articles

Variable selection for spatial autoregressive models

, , &
Pages 1325-1340 | Received 27 Jul 2018, Accepted 24 Jul 2019, Published online: 06 Aug 2019

References

  • Anselin, L. 1988. Spatial Econometrics: Methods and Models. The Netherlands: Kluwer Academic Publishers.
  • Breiman, L. 1995. Better Subset Regression Using the Nonnegative Garrote. Technometrics 37 (4):373–384. doi:10.1080/00401706.1995.10484371.
  • Chen, X L., X J. Chen, and H. Wang. 2018. Robust Feature Screening for Ultra-High DimensionalRight Censored Data via Distance Correlation. Computational Statistics & Data Analysis 119:118–318. doi:10.1016/j.csda.2017.10.004.
  • Cressie, N. 1993. Statistics for Spatial Data. New York: John Wiley and Sons.
  • Cliff, A D., and J K. Ord. 1973. Spatial Autocorrelation. London: Pion Ltd.
  • Du, J., X Q. Sun, R Y. Cao, and Z Z. Zhang. 2018. Statistical Inference for Partially Linear Additive Spatial Autoregressive Models. Spatial Statistics 25:52–67. doi:10.1016/j.spasta.2018.04.008.
  • Fan, J Q., and R Z. Li. 2001. Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties. Journal of the American Statistical Association 96 (456):1348–1360. doi:10.1198/016214501753382273.
  • Fu, W J. 1998. Penalized Regressions: The Bridge versus the Lasso. Journal of Computational and Graphical Statistics 7:397–416. doi:10.2307/1390712.
  • Kelejian, H H., and I R. Prucha. 1998. A Generalized Spatial Two-Stage Least Squares Procedure for Estimating a Spatial Autoregressive Model with Autoregressive Disturbances. Journal of Real Estate Finance and Economics 17 (1):99–121.
  • Kelejian, H H., and I R. Prucha. 1999. A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model. International Economic Review 40 (2):509–533. doi:10.1111/1468-2354.00027.
  • Lee, L.F. 2001. Generalized Method of Moments Estimation of Spatial Autoregressive Processes. Manuscript, Department of Economics, OSU, Columbus, OH.
  • Lee, L F. 2003. Best Spatial Two-Stage Least Squares Estimators for a Spatial Autoregressive Model with Autoregressive Disturbances. Econometric Reviews 22 (4):307–335. doi:10.1081/ETC-120025891.
  • Lee, L F. 2004. Asymptotic Distribution of Quasi-Maximum Likelihood Estimators for Spatial Autoregressive Models. Econometrica 72 (6):1899–1925. doi:10.1111/j.1468-0262.2004.00558.x.
  • Lee, L F. 2007. GMM and 2SLS Estimation of Mixed Regressive, Spatial Autoregressive Models. Journal of Econometrics 137 (2):489–514. doi:10.1016/j.jeconom.2005.10.004.
  • Leng, C L. 2010. Variable Selection and Coefficient Estimation via Regularized Rank Regression. Statistica Sinica 20:167–181. doi:10.5705/ss.202016.0441.
  • Ord, K. 1975. Estimation Methods for Models of Spatial Interaction. Journal of the American Statistical Association 70 (349):120–126. doi:10.1080/01621459.1975.10480272.
  • Paelinck, JHP. 1967. L’efficacité des mesures de politique économique régionalPe. In: Aelinck Jean H (ed). L’Efficacité Des Mesures de Politique Économique Régionale., Cervna, Namur.
  • Robinson, P M. 2010. Efficient Estimation of the Semi-parametric Spatial Autoregressive Model. Journal of Econometrics 157 (1):6–7. doi:10.1016/j.jeconom.2009.10.031.
  • Su, L., and Z. Yang. 2007. Instrumental Variable Quantile Estimation of Spatial Autoregressive Models, Development Economics Working Papers 22476. East Asian Bureau of Economic Research.
  • Tibshirani, R J. 1996. Regression Shrinkage and Selection via the Lasso. Journal of the Royal Statistical Society: Series B (Methodological) 58:267–286. doi:10.1111/j.2517-6161.1996.tb02080.x.
  • Wang, M Q., L X. Song, and X G. Wang. 2016. Quadratic Approximation via the Scad Penalty with a Diverging Number of Parameters. Communications in Statistics - Simulation and Computation 45 (1):1–16. doi:10.1080/03610918.2013.849735.
  • Wang, X L., and M Q. Wang. 2016. Variable Selection for High-Dimensional Generalized Linear Models with the Weighted Elastic-Net Procedure. Journal of Applied Statistics 43 (5):796–809. doi:10.1080/02664763.2015.1078300.
  • Wu, Y., and Y. Sun. 2017. Shrinkage Estimation of the Linear Model with Spatial Interaction. Metrika 80 (1):51–68. doi:10.1007/s00184-016-0590-z.
  • Xie, T F., R Y. Cao, and J. Du. 2018. Variable Selection for Spatial Autoregressive Models with A Diverging Number of Parameters. Statistical Papers 1–21. doi:10.1007/s00362-018-0984-2.
  • Xiong, S F. 2010. Some Notes on the Nonnegative Garrote. Technometrics 52 (3):349–361. doi:10.1198/TECH.2010.09148.
  • Zhang, Y., R. Li, and C. Tsai. 2010. Regularization Parameter Selections via Generalized Information Criterion. Journal of the American Statistical Association 105 (489):312–323. doi:10.1198/jasa.2009.tm08013.
  • Zou, H. 2006. The Adaptive Lasso and Its Oracle Properties. Journal of the American Statistical Association 101 (476):1418–1429. doi:10.1198/016214506000000735.

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