Constrained Kantorovich inequalities and relative efficiency of least squares

DOI10.1016/0047-259X(92)90048-KzbMath0752.62047OpenAlexW2084832430MaRDI QIDQ1201134

Jun Shao, Song-Gui Wang

Publication date: 17 January 1993

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(92)90048-k

zbMATH Keywords

linear modelslower boundslinear constraintsBLUErelative efficiencyconstrained Kantorovich inequalities

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (10)

On ordinary least-squares methods for sample surveys ⋮ Some Matrix Norm Kantorovich Inequalities and Their Applications ⋮ Kantorovich and Cauchy-Schwarz inequalities involving positive semidefinite matrices, and efficiency comparisons for a singular linear model ⋮ Equality conditions for matrix Kantorovich-type inequalities ⋮ Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applications ⋮ The efficiency comparisons between OLSE and BLUE in a singular linear model ⋮ Notes on Greub-Rheinboldt inequalities ⋮ Fixed-time synchronization of quaternion-valued neural networks with impulsive effects: a non-decomposition method ⋮ Efficiency comparisons between the OLSE and the BLUE in a singular linear model ⋮ On several matrix Kantorovich-type inequalities

Cites Work

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• Some extensions of the Kantorovich inequality and statistical applications
• The inefficiency of least squares
• On the minimum efficiency of least squares
• When is the Arithmetic Mean Blue?
• On Canonical Forms, Non-Negative Covariance Matrices and Best and Simple Least Squares Linear Estimators in Linear Models
• Comparison of Least Squares and Minimum Variance Estimates of Regression Parameters

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