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Darrell A. Turkington has written 4 work(s)
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This book presents the reader with new operators and matrices that arise in the area of matrix calculus. The properties of these mathematical concepts are investigated and linked with zero-one matrices such as the commutation matrix. Elimination and duplication matrices are revisited and partitioned into submatrices. Studying the properties of these submatrices facilitates achieving new results for the original matrices themselves. Different concepts of matrix derivatives are presented and transformation principles linking these concepts are obtained. One of these concepts is used to derive new matrix calculus results, some involving the new operators and others the derivatives of the operators themselves. The last chapter contains applications of matrix calculus, including optimization, differentiation of log-likelihood functions, iterative interpretations of maximum likelihood estimators, and a Lagrangian multiplier test for endogeneity.
Hardcover:
9781107032002 | Cambridge Univ Pr, February 28, 2013, cover price $110.00 | About this edition: This book presents the reader with new operators and matrices that arise in the area of matrix calculus.
Paperback:
9781107448728 | Reprint edition (Cambridge Univ Pr, June 26, 2014), cover price $44.99
Product Description: Designed to demonstrate the essential mathematical concepts--comprehensively and economically--without re-teaching basic material or laboring over superfluous ideas," " this text locates the necessary information in a practical economics context...read more
Hardcover:
9781405133807 | Blackwell Pub, November 29, 2006, cover price $113.60 | About this edition: Designed to demonstrate the essential mathematical conceptsâcomprehensively and economicallyâwithout re-teaching basic material or laboring over superfluous ideas, this text locates the necessary information in a practical economics context.
Paperback:
9781405133814 | Blackwell Pub, November 29, 2006, cover price $42.60 | About this edition: Designed to demonstrate the essential mathematical concepts--comprehensively and economically--without re-teaching basic material or laboring over superfluous ideas," " this text locates the necessary information in a practical economics context.
Product Description: The statistical models confronting econometricians are complicated in nature so it is no easy task to apply the procedures recommended by classical statisticians to such models. This book presents the reader with mathematical tools drawn from matrix calculus and zero-one matrices and demonstrates how the use of their tools greatly facilitates such applications in a sequence of linear econometric models of increasing statistical complexity...read more
Hardcover:
9780521807883 | Cambridge Univ Pr, December 1, 2001, cover price $110.00 | About this edition: The statistical models confronting econometricians are complicated in nature so it is no easy task to apply the procedures recommended by classical statisticians to such models.
Paperback:
9780521022453 | Cambridge Univ Pr, May 31, 2006, cover price $44.99 | About this edition: The statistical models confronting econometricians are complicated in nature so it is no easy task to apply the procedures recommended by classical statisticians to such models.
Product Description: Recent advances in establishing the nature and scope of estimators in econometrics have shed more light on the importance of instrumental variables. In this book, the authors argue that such methods may be regarded as a strong organizing principle for a wide variety of estimation and hypothesis testing problems in econometrics and statistics...read more
Hardcover:
9780521262415 | Cambridge Univ Pr, February 1, 1985, cover price $49.95
Paperback:
9780521385824 | Reprint edition (Cambridge Univ Pr, February 1, 1990), cover price $64.99 | About this edition: Recent advances in establishing the nature and scope of estimators in econometrics have shed more light on the importance of instrumental variables.
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