Statistical proofs of some matrix theorems
type: Item
instance of: scholarly article
title: Statistical proofs of some matrix theorems
author: C. R. Rao
published in: International Statistical Review
publication date: 2024-07-18T00:00:00Z
Mathematics Subject Classification ID: 15Axx
Mathematics Subject Classification ID: 15Bxx
Mathematics Subject Classification ID: 62Jxx
zbMATH DE Number: 7882668
zbMATH Keywords: Cauchy-Schwarz inequality
zbMATH Keywords: Fisher information
zbMATH Keywords: Kronecker product
zbMATH Keywords: Milne's inequality
zbMATH Keywords: parallel sum of matrices
zbMATH Keywords: Schur product
MaRDI profile type: Publication
cites work: Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
cites work: Concavity of certain maps on positive definite matrices and applications to Hadamard products
cites work: Superadditivity of Fisher's information and logarithmic Sobolev inequalities
cites work: Statistical proofs of some matrix results
cites work: Über eine Ungleichung für positiv definite Matrizen
cites work: Statistical meaning of Carlen's superadditivity of the Fisher information
cites work: Some properties and applications of the efficient Fisher score
cites work: Multivariate normal distributions, Fisher information and matrix inequalities
cites work: Inequalities: theory of majorization and its applications
cites work: Note on Rosseland's integral for the stellar absorption coefficent.
cites work: A Multivariate Tchebycheff Inequality
cites work: Linear Statistical Inference and its Applications
cites work: Statistical proofs of some matrix inequalities
cites work: Q5645536
cites work: Q4230824
cites work: Linear models. Least squares and alternatives.
DOI: 10.1111/J.1751-5823.2006.TB00168.X
description: scientific article; zbMATH DE number 7882668