Estimation of the noncentrality matrix of a noncentral Wishart distribution with unit scale matrix. A matrix generalitzation of Lenng's domination result

The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung’s but generalized to a matrix loss function. Parallelly Leung’s scalar noncentral Wishart identity is generalized to become a matrix identity. The concept of L¨owner partial ordering o...

Descripción completa

Detalles Bibliográficos
Autor: Neudecker, Heinz
Tipo de recurso: artículo
Fecha de publicación:2004
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/3751
Acceso en línea:https://hdl.handle.net/2099/3751
Access Level:acceso abierto
Palabra clave:Multivariate analysis
Algebras, Linear
Multilinear algebra
Matrices
Anàlisi multivariable
Àlgebra lineal
Àlgebra multilineal
Matriu S, Teoria
Classificació AMS::15 Linear and multilinear algebra
matrix theory
Classificació AMS::62 Statistics::62H Multivariate analysis
Descripción
Sumario:The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung’s but generalized to a matrix loss function. Parallelly Leung’s scalar noncentral Wishart identity is generalized to become a matrix identity. The concept of L¨owner partial ordering of symmetric matrices is used.