Maximum likelihood estimation of spatial models based on weight matrices typically requires a sizeable computational capacity, even in relatively small samples. The unilateral approximation approach to spatial models estimation has been suggested in Besag (1974) as a viable alternative to MLE for conditionally specified processes. In this paper we revisit the method, extend it to simultaneous spatial processes and study the finite-sample properties of the resulting estimators by means of Monte Carlo simulations, using several Conditional Autoregressive Models. According to the results, the performance of the unilateral estimators is very good, both in terms of statistical properties (accuracy and precision) and in terms of computing time.

Maximum likelihood estimation of spatial models based on weight matrices typically requires a sizeable computational capacity, even in relatively small samples. The unilateral approximation approach to spatial models estimation has been suggested in Besag (1974) as a viable alternative to MLE for conditionally specified processes. In this paper we revisit the method, extend it to simultaneous spatial processes and study the finite-sample properties of the resulting estimators by means of Monte Carlo simulations, using several Conditional Autoregressive Models. According to the results, the performance of the unilateral estimators is very good, both in terms of statistical properties (accuracy and precision) and in terms of computing time.

Fitting Spatial Econometric Models through the Unilateral Approximation / Arbia, Giuseppe; M., Bee; Espa, Giuseppe; Santi, Flavio. - ELETTRONICO. - (2014). - DEM DISCUSSION PAPERS.

Fitting Spatial Econometric Models through the Unilateral Approximation

ARBIA, Giuseppe;ESPA, GIUSEPPE;SANTI, FLAVIO
2014

Abstract

Maximum likelihood estimation of spatial models based on weight matrices typically requires a sizeable computational capacity, even in relatively small samples. The unilateral approximation approach to spatial models estimation has been suggested in Besag (1974) as a viable alternative to MLE for conditionally specified processes. In this paper we revisit the method, extend it to simultaneous spatial processes and study the finite-sample properties of the resulting estimators by means of Monte Carlo simulations, using several Conditional Autoregressive Models. According to the results, the performance of the unilateral estimators is very good, both in terms of statistical properties (accuracy and precision) and in terms of computing time.
2014
DEM DISCUSSION PAPERS
Maximum likelihood estimation of spatial models based on weight matrices typically requires a sizeable computational capacity, even in relatively small samples. The unilateral approximation approach to spatial models estimation has been suggested in Besag (1974) as a viable alternative to MLE for conditionally specified processes. In this paper we revisit the method, extend it to simultaneous spatial processes and study the finite-sample properties of the resulting estimators by means of Monte Carlo simulations, using several Conditional Autoregressive Models. According to the results, the performance of the unilateral estimators is very good, both in terms of statistical properties (accuracy and precision) and in terms of computing time.
spatial statistics; Spatial Econometrics; unilateral approximation; Exact/approximate model; Maximum likelihood estimation; approximate MLE; lattice data
02 Pubblicazione su volume::02a Capitolo o Articolo
Fitting Spatial Econometric Models through the Unilateral Approximation / Arbia, Giuseppe; M., Bee; Espa, Giuseppe; Santi, Flavio. - ELETTRONICO. - (2014). - DEM DISCUSSION PAPERS.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/744652
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