Statistical proofs of some matrix theorems

DOI10.1111/J.1751-5823.2006.TB00168.XMaRDI QIDQ6574123

C. R. Rao

Publication date: 18 July 2024

Published in: International Statistical Review (Search for Journal in Brave)

zbMATH Keywords

Fisher informationKronecker productSchur productCauchy-Schwarz inequalityMilne's inequalityparallel sum of matrices

Mathematics Subject Classification ID

Linear inference, regression (62Jxx) Basic linear algebra (15Axx) Special matrices (15Bxx)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Superadditivity of Fisher's information and logarithmic Sobolev inequalities
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Statistical meaning of Carlen's superadditivity of the Fisher information
• Some properties and applications of the efficient Fisher score
• Note on Rosseland's integral for the stellar absorption coefficent.
• Statistical proofs of some matrix inequalities
• Linear models. Least squares and alternatives.
• Multivariate normal distributions, Fisher information and matrix inequalities
• A Multivariate Tchebycheff Inequality
• Über eine Ungleichung für positiv definite Matrizen
• Statistical proofs of some matrix results
• Linear Statistical Inference and its Applications
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
• Inequalities: theory of majorization and its applications

Related Items (1)

Professor Heinz Neudecker and matrix differential calculus

This page was built for publication: Statistical proofs of some matrix theorems

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6574123)