Functional-Coefficient Spatial Durbin Models with Nonparametric Spatial Weights: An Application to Economic Growth

This paper considers a functional-coefficient spatial Durbin model with nonparametric spatial weights. Applying the series approximation method, we estimate the unknown functional coefficients and spatial weighting functions via a nonparametric two-stage least squares (or 2SLS) estimation method. To...

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Main Authors: Mustafa Koroglu, Yiguo Sun
Format: Article
Language:English
Published: MDPI AG 2016-02-01
Series:Econometrics
Subjects:
Online Access:http://www.mdpi.com/2225-1146/4/1/6
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author Mustafa Koroglu
Yiguo Sun
author_facet Mustafa Koroglu
Yiguo Sun
author_sort Mustafa Koroglu
collection DOAJ
description This paper considers a functional-coefficient spatial Durbin model with nonparametric spatial weights. Applying the series approximation method, we estimate the unknown functional coefficients and spatial weighting functions via a nonparametric two-stage least squares (or 2SLS) estimation method. To further improve estimation accuracy, we also construct a second-step estimator of the unknown functional coefficients by a local linear regression approach. Some Monte Carlo simulation results are reported to assess the finite sample performance of our proposed estimators. We then apply the proposed model to re-examine national economic growth by augmenting the conventional Solow economic growth convergence model with unknown spatial interactive structures of the national economy, as well as country-specific Solow parameters, where the spatial weighting functions and Solow parameters are allowed to be a function of geographical distance and the countries’ openness to trade, respectively.
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spelling doaj.art-57c804c584834d33aebc09e1edbc58ca2022-12-22T04:27:28ZengMDPI AGEconometrics2225-11462016-02-0141610.3390/econometrics4010006econometrics4010006Functional-Coefficient Spatial Durbin Models with Nonparametric Spatial Weights: An Application to Economic GrowthMustafa Koroglu0Yiguo Sun1Department of Economics and Finance, University of Guelph, Guelph, ON N1G2W1, CanadaDepartment of Economics and Finance, University of Guelph, Guelph, ON N1G2W1, CanadaThis paper considers a functional-coefficient spatial Durbin model with nonparametric spatial weights. Applying the series approximation method, we estimate the unknown functional coefficients and spatial weighting functions via a nonparametric two-stage least squares (or 2SLS) estimation method. To further improve estimation accuracy, we also construct a second-step estimator of the unknown functional coefficients by a local linear regression approach. Some Monte Carlo simulation results are reported to assess the finite sample performance of our proposed estimators. We then apply the proposed model to re-examine national economic growth by augmenting the conventional Solow economic growth convergence model with unknown spatial interactive structures of the national economy, as well as country-specific Solow parameters, where the spatial weighting functions and Solow parameters are allowed to be a function of geographical distance and the countries’ openness to trade, respectively.http://www.mdpi.com/2225-1146/4/1/6functional coefficientslocal linear regressionnonparametric 2SLS estimatorseries estimatorSolow economic growth convergence modelspatial Durbin model
spellingShingle Mustafa Koroglu
Yiguo Sun
Functional-Coefficient Spatial Durbin Models with Nonparametric Spatial Weights: An Application to Economic Growth
Econometrics
functional coefficients
local linear regression
nonparametric 2SLS estimator
series estimator
Solow economic growth convergence model
spatial Durbin model
title Functional-Coefficient Spatial Durbin Models with Nonparametric Spatial Weights: An Application to Economic Growth
title_full Functional-Coefficient Spatial Durbin Models with Nonparametric Spatial Weights: An Application to Economic Growth
title_fullStr Functional-Coefficient Spatial Durbin Models with Nonparametric Spatial Weights: An Application to Economic Growth
title_full_unstemmed Functional-Coefficient Spatial Durbin Models with Nonparametric Spatial Weights: An Application to Economic Growth
title_short Functional-Coefficient Spatial Durbin Models with Nonparametric Spatial Weights: An Application to Economic Growth
title_sort functional coefficient spatial durbin models with nonparametric spatial weights an application to economic growth
topic functional coefficients
local linear regression
nonparametric 2SLS estimator
series estimator
Solow economic growth convergence model
spatial Durbin model
url http://www.mdpi.com/2225-1146/4/1/6
work_keys_str_mv AT mustafakoroglu functionalcoefficientspatialdurbinmodelswithnonparametricspatialweightsanapplicationtoeconomicgrowth
AT yiguosun functionalcoefficientspatialdurbinmodelswithnonparametricspatialweightsanapplicationtoeconomicgrowth