Abstract
The Lagrange multiplier test for spatially correlated dependent variables is studied. Direct proofs are given for the asymptotic χ2(1) distribution of the test statistic. Conditions for asymptotics are given in terms of matrices of explanatory variables and of spatial weights. The behavior of the test statistic is highlighted by examples.
Similar content being viewed by others
References
L. Anselin,Spatial Econometrics: Methods and Models, Kluwer, Dordrecht (1988).
L. Anselin, “Lagrange multiplier test diagnostics for spatial dependence and spatial heterogeneity”,Geographical Anal.,20, 1–17 (1988).
F. Brouaye, “Asymptotic normality of some Hermitian forms with complex noisy data”,IEEE Trans. Inf. Theor.,40, 236–239 (1994).
I. Fazekas and J. Lauridsen, “On the Lagrange multiplier test for spatial correlation in econometric models”, in:Occasional Papers, No. 1. Odense University, Odense (1997).
L. G. Godfrey,Misspecification Tests in Econometrics, Cambridge Univ. Press, Cambridge (1988).
B. A. Sevast'yanov, “A class of limit distributions for quadratic forms of normal stochastic variables”,Teor. Veroyatn. Primen.,6, 337–340 (1961).
A. N. Shiryayev,Probability, Springer, New York (1984).
P. Whittle, “Bounds for the moments of linear and quadratic forms in independent variables”,Teor. Veroyatn. Primen.,5, 302–305 (1960).
P. Whittle, “On the convergence to normality of quadratic forms in independent variables”,Teor. Veroyatn. Primen.,9, 103–108 (1964).
Author information
Authors and Affiliations
Additional information
The research was accomplished while this author was on leave from Kossuth University, Debrecen, Hungary.
Proceedings of the Seminar on Stability Problems for Stochastic Models, Hajdúszoboszló, Hungary, 1997, Part III.
Rights and permissions
About this article
Cite this article
Fazekas, I., Lauridsen, J. On the Lagrange multiplier test for spatial correlation in econometric models. J Math Sci 93, 515–520 (1999). https://doi.org/10.1007/BF02365057
Issue Date:
DOI: https://doi.org/10.1007/BF02365057