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Φ admissibility of linear estimators of common mean parameter in general multivariate linear models under a balanced loss function

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  • Mingxiang Cao
  • Junyong Park
  • Guangjun Shen

Abstract

The definitions of Φ optimality and Φ admissibility of matrix common mean parameter are given in general multivariate linear models under a generalized matrix balanced loss function. We extend some previous studies to more general cases such that Φ admissibility of linear estimators on matrix common mean parameter. Sufficient and necessary conditions for linear estimators to be Φ admissible are obtained in classes of homogeneous and non homogeneous linear estimators, respectively.

Suggested Citation

  • Mingxiang Cao & Junyong Park & Guangjun Shen, 2021. "Φ admissibility of linear estimators of common mean parameter in general multivariate linear models under a balanced loss function," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(17), pages 4050-4065, August.
    • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:17:p:4050-4065
    DOI: 10.1080/03610926.2019.1710757
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