References
Cliff, A. D. and Ord, J. K. (1981): Spatial processes: Models and applications. Pion, London.
Gotu, B. (1997): “Schätz- und Testmethoden im linearen Regressions-modell bei Vorliegen von räumlicher Korrelation”, Doctoral Thesis, University of Dortmund.
Horn, R. A. and Johnson, C. R. (1985): Matrix Analysis. Cambridge University Press, Cambridge.
Krämer, W., Bartels, R. and Fiebig, D. G. (1996): “Another Twist on the Equality of OLS and GLS”, Statistical Papers 37, 277–281.
Kramer, W. and Donninger, C. (1987): “Spatial Autocorrelation among Errors and the Relative Efficiency of OLS in the Linear Regression Model”, Journal of the American Statistical Association 82, 577–579.
Kruskal, W. (1968): “When are Gauss-Markov and Least Squares Estimator Identical? A Coordinate-Free Approach”, The Annals of Mathematical Statistics 39, 70–75.
Puntanen, S. and Styan, G. P. H. (1989): “The Equality of the Ordinary Least Squares Estimator and the Best Linear Unbiased Estimator”, The American Statistician 43, 153–164.
Zyskind, G. (1967): “On Canonical Forms, Non-Negative Covariance Matrices and Best and Simple Least Squares Linear Estimators in Linear Models”, The Annals of Mathematical Statistics 38, 1092–1109.
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Gotu, B. The equality of OLS and GLS estimators in the linear regression model when the disturbances are spatially correlated. Statistical Papers 42, 253–263 (2001). https://doi.org/10.1007/s003620100054
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DOI: https://doi.org/10.1007/s003620100054