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portada Matrix Calculus Zero-One Matrices: Statistical and Econometric Applications
Type
Physical Book
Publisher
Author
Year
2005
Language
English
Pages
220
Format
Paperback
ISBN
0521022452
ISBN13
9780521022453
Categories

Matrix Calculus Zero-One Matrices: Statistical and Econometric Applications

Turkington (Author) · Cambridge University Press · Paperback

Matrix Calculus Zero-One Matrices: Statistical and Econometric Applications - Turkington

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Synopsis "Matrix Calculus Zero-One Matrices: Statistical and Econometric Applications "

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.

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