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Abstract: Estimation of Covariance Matrices in Fixed and Mixed Effects Linear Models

Author

Listed:
  • Tatsuya Kubokawa

    (Faculty of Economics, University of Tokyo)

  • Ming-Tien Tsai

    (Institute of Statistical Science, Academia Sinica)

Abstract

The estimation of the covariance matrix or the multivariate components of variance is considered in the multivariate linear regression models with effects being fixed or random. In this paper, we propose a new method to show that usual unbiased estimators are improved on by the truncated estimators. The method is based on the Stein-Haff identity, namely the integration by parts in the Wishart distribution, and it allows us to handle the general types of scale-equivariant estimators as well as the general fixed or mixed effects linear models.

Suggested Citation

  • Tatsuya Kubokawa & Ming-Tien Tsai, 2005. "Abstract: Estimation of Covariance Matrices in Fixed and Mixed Effects Linear Models," CIRJE F-Series CIRJE-F-317, CIRJE, Faculty of Economics, University of Tokyo.
  • Handle: RePEc:tky:fseres:2005cf317
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