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.
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Review
'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
Book Description
This 2002 book demonstrates how mathematical tools taken from matrix calculations and zero-one matrices greatly facilitate the application of classical statistical procedures to econometric models. The score vector, 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.
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Matrix Calculus and Zero-One Matrices: Statistical and Econometric Applications
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ISBN 10: 0521022452
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Matrix Calculus and Zero-One Matrices (Paperback)
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ISBN 10: 0521022452
ISBN 13: 9780521022453
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Paperback. Condition: new. Paperback. 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. Shows how mathematical tools taken from matrix calculations and zero-one matrices greatly facilitate the application of classical statistical procedures to econometric models. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521022453
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Matrix Calculus and Zero-One Matrices: Statistical and Econometric Applications
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Matrix Calculus and Zero-One Matrices: Statistical and Econometric Applications
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Matrix Calculus and Zero-One Matrices
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Matrix Calculus and Zero-One Matrices
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Matrix Calculus and Zero-One Matrices (Paperback)
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ISBN 10: 0521022452
ISBN 13: 9780521022453
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Paperback. Condition: new. Paperback. 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. Shows how mathematical tools taken from matrix calculations and zero-one matrices greatly facilitate the application of classical statistical procedures to econometric models. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521022453
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Matrix Calculus and Zero-One Matrices
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Shows how mathematical tools taken from matrix calculations and zero-one matrices greatly facilitate the application of classical statistical procedures to econometric models.Inhaltsverzeichnis1. Classical statistical procedures 2. . Seller Inventory # 446921254
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Matrix Calculus and Zero-One Matrices (Paperback)
Published by
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ISBN 10: 0521022452
ISBN 13: 9780521022453
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Paperback. Condition: new. Paperback. 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. Shows how mathematical tools taken from matrix calculations and zero-one matrices greatly facilitate the application of classical statistical procedures to econometric models. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780521022453