Skip to main content
Log in

Estimation of the SURE model

  • Notes
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

The paper presents the essentials of the SURE model and the estimation of its parameters β and ω. Two alternative compact representations of the model are being used. The parameter β is estimated by least squares (LS), generalized least squares (GLS) and maximum likelihood (ML) (under normality).

For ω two estimators are being considered, viz an LS-related estimator and a maximum likelihood estimator (under normality). Attention is being given to the study of asymptotic properties of all estimators examined. It turns out that the LS-related and ML estimators of ω follow the same asymptotic (normal) distribution.

Efficiency comparisons for the various estimators of β conclude the paper.

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

  • Anderson, T.W. (1994). Inference in linear models, in:Multivariate Analysis and its Applications (T.W. Anderson, K.T. Fang and I. Olkin, Editors), IMS Lecture Notes 24.

  • Greene, W.H., (1993).Econometric Analysis, 2nd edn, Macmillan Publishing Company, New York.

    Google Scholar 

  • Magnus, J.R. and H. Neudecker (1991).Matrix Differential Calculus with Applications in Statistics and Econometrics, 2nd edn, Wiley, Chichester.

    Google Scholar 

  • Marshall, A.W. and I. Olkin (1990). Matrix versions of the Cauchy and Kantorovich inequalities.Aequationes Math., 40, 89–93.

    Article  MATH  MathSciNet  Google Scholar 

  • Srivastava, V.K. and D.E.A. Giles (1987).Seemingly Unrelated Regression Equation Models, Dekker, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Heijmans, R., Neudecker, H. Estimation of the SURE model. Statistical Papers 39, 423–430 (1998). https://doi.org/10.1007/BF02927105

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02927105

Keywords

Navigation