Matrix Calculus and Zero-One Matrices: Statistical and Econometric Applications - Couverture rigide

Turkington, Darrell A.

 
9780521807883: Matrix Calculus and Zero-One Matrices: Statistical and Econometric Applications
Couverture rigide
ISBN 10 : 0521807883 ISBN 13 : 9780521807883
Editeur : Cambridge University Press, 2001

Synopsis

This 2002 book presents the reader with mathematical tools taken from matrix calculus and zero-one matrices and demonstrates how these tools greatly facilitate the application of classical statistical procedures to econometric models. The matrix calculus results are derived from a few basic rules that are generalizations of the rules of ordinary calculus. These results are summarized in a useful table. Well-known zero-one matrices, together with some newer ones, are defined, their mathematical roles explained, and their useful properties presented. The basic building blocks of classical statistics, namely the score vector, the information matrix, and the Cramer-Rao lower bound, are obtained for a sequence of linear econometric models of increasing statistical complexity. From these are obtained interactive interpretations of maximum likelihood estimators, linking them with efficient econometric estimators. Classical test statistics are also derived and compared for hypotheses of interest.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This 2002 book presents the reader with mathematical tools taken from matrix calculus and zero-one matrices and demonstrates how these tools greatly facilitate the application of classical statistical procedures to econometric models. The matrix calculus results are derived from a few basic rules that are generalizations of the rules of ordinary calculus. These results are summarized in a useful table. Well-known zero-one matrices, together with some newer ones, are defined, their mathematical roles explained, and their useful properties presented. The basic building blocks of classical statistics, namely the score vector, the information matrix, and the Cramer-Rao lower bound, are obtained for a sequence of linear econometric models of increasing statistical complexity. From these are obtained interactive interpretations of maximum likelihood estimators, linking them with efficient econometric estimators. Classical test statistics are also derived and compared for hypotheses of interest.

Revue de presse

'This is indeed a fine book covering the major areas in the Econometric literature. ... The book, with its lucid presentation, will be quite valuable as a reference book for instructors as well as graduate students.' Indian Journal of Statistics

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2001
Langue
anglais
ISBN 10 
0521807883
ISBN 13 
9780521807883
Reliure
Relié
Nombre de pages
220
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521022453: Matrix Calculus Zero-One Matrices

Edition présentée

ISBN 10 :  0521022452 ISBN 13 :  9780521022453
Editeur : Cambridge University Press, 2008
Couverture souple