Some further aspects of the löwner-ordering antitonicity of the moore-penrose inverse

DOI10.1080/03610928908830167zbMath0707.62096OpenAlexW2092996153MaRDI QIDQ3489123

Kenneth Nordström

Publication date: 1989

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928908830167

zbMATH Keywords

Schur complementinertiaconcentration ellipsoidmaximum concentrationellipsoidal cylindercomparison of vector-valued statisticsextremal representation of quadratic formsminimum dispersion

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

Related Items (5)

Antitonicity of the inverse for selfadjoint matrices, operators, and relations ⋮ On Löwner-ordering antitonicity of matrix inversion ⋮ On the \(\{2\}\)-inverse and some ordering properties of nonnegative definite matrices ⋮ Convexity of the inverse and Moore-Penrose inverse ⋮ Limit properties of monotone matrix functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the matrix monotonicity of generalized inversion
• Comparison of linear experiments with known covariances
• The matrix inequality \(M \leq B^*MB\)
• Concentration inequalities for Gauss-Markov estimators
• On some ordering properties of the generalized inverses of nonnegative definite matrices
• Schur complements and statistics
• Über monotone Matrixfunktionen
• G-majorization with applications to matrix orderings
• Determination of the inertia of a partitioned Hermitian matrix
• A Theorem on Convex Sets with Applications
• A theorem on the difference of the generalized inverses of two nonnegative matrices
• A note on the partial ordering of positive semi-definite matrices
• A simplified proof of a theorem on the difference of the moore–penrose inverses of two positive semi–difinte matrices
• Optimal Experimental Designs
• A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse
• Linear Statistical Inference and its Applications
• On Random Variables with Comparable Peakedness
• Locally Optimal Designs for Estimating Parameters
• Inequalities: theory of majorization and its applications

This page was built for publication: Some further aspects of the löwner-ordering antitonicity of the moore-penrose inverse