Skip to main content
Log in

On the Lagrange multiplier test for spatial correlation in econometric models

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. Anselin,Spatial Econometrics: Methods and Models, Kluwer, Dordrecht (1988).

    Google Scholar 

  2. L. Anselin, “Lagrange multiplier test diagnostics for spatial dependence and spatial heterogeneity”,Geographical Anal.,20, 1–17 (1988).

    Google Scholar 

  3. F. Brouaye, “Asymptotic normality of some Hermitian forms with complex noisy data”,IEEE Trans. Inf. Theor.,40, 236–239 (1994).

    MATH  MathSciNet  Google Scholar 

  4. 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).

    Google Scholar 

  5. L. G. Godfrey,Misspecification Tests in Econometrics, Cambridge Univ. Press, Cambridge (1988).

    Google Scholar 

  6. B. A. Sevast'yanov, “A class of limit distributions for quadratic forms of normal stochastic variables”,Teor. Veroyatn. Primen.,6, 337–340 (1961).

    MATH  Google Scholar 

  7. A. N. Shiryayev,Probability, Springer, New York (1984).

    Google Scholar 

  8. P. Whittle, “Bounds for the moments of linear and quadratic forms in independent variables”,Teor. Veroyatn. Primen.,5, 302–305 (1960).

    MathSciNet  Google Scholar 

  9. P. Whittle, “On the convergence to normality of quadratic forms in independent variables”,Teor. Veroyatn. Primen.,9, 103–108 (1964).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

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

Reprints 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

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02365057

Keywords

Navigation