Antieigenvalue techniques in statistics

DOI10.1016/j.laa.2008.05.007zbMath1168.15006OpenAlexW1983584187MaRDI QIDQ1017616

Morteza Seddighin

Publication date: 12 May 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.05.007

zbMATH Keywords

Hilbert spaceantieigenvaluenumerical rangeconvex programmingconvex setstrongly accretive operatorantieigenvectorstatistical efficiency

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Minimax procedures in statistical decision theory (62C20) Convex programming (90C25) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (4)

Slant antieigenvalues and slant antieigenvectors of operators ⋮ Notes on Greub-Rheinboldt inequalities ⋮ Approximations of antieigenvalue and antieigenvalue-type quantities ⋮ Slant joint antieigenvalues and antieigenvectors of operators in normal subalgebras

Cites Work

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• Two Kantorovich-type inequalities and effciency comparisons between the OLSE and BLUE
• Antieigenvalue bounds
• Operator trigonometry of statistics and econometrics
• Antieigenvalues and total antieigenvalues of normal operators
• On the joint antieigenvalues of operators in normal subalgebras
• On the eigenvalues which express antieigenvalues
• The angle of an operator and positive operator products
• Efficiency comparisons between two estimators based on matrix determinant Kantorovich-type inequalities.

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