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Kantorovich-type inequalities and the measures of inefficiency of the GLSE

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Publication:922613
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DOI10.1007/BF02005959zbMath0711.15016OpenAlexW2027756583MaRDI QIDQ922613

Hu Yang, Song-Gui Wang

Publication date: 1989

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02005959


zbMATH Keywords

Kantorovich inequalitiesgeneralized least squares estimatorEuclidean norm of a matrixGauss-Markov models


Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Inequalities; stochastic orderings (60E15) Miscellaneous inequalities involving matrices (15A45)


Related Items (3)

The inefficiency of the least squares estimator and its bound ⋮ An alternative form of the Watson efficiency ⋮ The inefficiency of least squares in Gauss-Markov and variance component models



Cites Work

  • The inefficiency of least squares: Extensions of the Kantorovich inequality
  • Some extensions of the Kantorovich inequality and statistical applications
  • On the Kantorovich Inequality
  • The inefficiency of least squares
  • On the minimum efficiency of least squares
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