Abstract
This paper proposes a dynamic spatial fixed effect model. First, simultaneously introduce both temporally and spatially lagged factors. Second, analyze both observable and unobservable spatial effects by taking the initial value as endogenous. Third, derive and prove the asymptotic properties and distributions of estimators, and undertake a Monte Carlo simulation. The simulation results show that the estimators improve as the sample size increases. Moreover, the degree to which the estimation results improve seems more sensitive to temporal dimension than to spatial dimension.
Supported by the National Social Science Foundation of China under Grant “10CTJ002”.
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Where \( {G_N}(\lambda ) = {W_N}{S_N}(\lambda ),\mathop {{{Z_t}}}\limits^\sim = ({\tilde{Y}_{t - 1}}, {W_N}\mathop {{{\tilde{Y}_{t - 1}}}}, \mathop {{{\tilde{X}_t}}} ) \).
References
Bhargava A, Sargan JD (1983) Estimation dynamic stochastic effects models from panel data covering short time periods. Econometrica 51:1635–1659
Elhorst JP (2001) Dynamic models in space and time. Geogr Anal 33:119–140
Elhorst JP (2005) Unconditional maximum likelihood estimation of linear and log-linear dynamic model for spatial panels. Geogr Anal 37:85–106
Hsio C, Pesaran MH, Tahmiscioglu AK (2002) Maximum likelihood estimation of fixed effects dynamic panel data models covering short time periods. J Econometrics 109:107–150
Kelejian Harry H, Prucha I (1998) A generalized spatial two-stage least squares procedure for estimating a spatial autoregressive model with auto-regressive disturbance. J Real Estate Finance Econ 17(1):99–121
Kelejian Harry H, Prucha I (2001) On the asymptotic distribution of the moran i test statistic with applications. J Econometrics 104:219–257
Lee LF (2004) Asymptotic distributions of quasi-maximum likelihood estimators for spatial econometric models. Econometrica 72:1899–1925
Lee LF, Yu J (2010) Estimation of spatial autoregressive panel data models with fixed effects. J Econometrics 154(2):165–185
Su LJ, Yang ZL (2007) QML estimation of dynamic panel data models with spatial errors. Working Paper, Singapore Management University
White H (1994) Estimation, inference and specification analysis. Econometric Society Monographs, No. 22, Cambridge University Press, pp 27–28
Yu J, de long R, Lee LF (2006) Quasi-maximum likelihood estimators for spatial dynamic panel data with fixed effects when both n an T are large. Working Paper, The Ohio State University
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© 2011 Springer-Verlag Berlin Heidelberg
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Guo, P. (2011). A Study on Dynamic Spatial Fixed Effect Model Based on Endogenous Initial Value. In: Wu, D., Zhou, Y. (eds) Modeling Risk Management for Resources and Environment in China. Computational Risk Management. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18387-4_57
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DOI: https://doi.org/10.1007/978-3-642-18387-4_57
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