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Linear Model Theory
Af: Dale L. Zimmerman Engelsk Paperback
SPAR
kr 219
Linear Model Theory
Af: Dale L. Zimmerman Engelsk Paperback

This textbook presents a unified and rigorous approach to best linear unbiased estimation and prediction of parameters and random quantities in linear models, as well as other theory upon which much of the statistical methodology associated with linear models is based. The single most unique feature of the book is that each major concept or result is illustrated with one or more concrete examples or special cases. Commonly used methodologies based on the theory are presented in methodological interludes scattered throughout the book, along with a wealth of exercises that will benefit students and instructors alike. Generalized inverses are used throughout, so that the model matrix and various other matrices are not required to have full rank. Considerably more emphasis is given to estimability, partitioned analyses of variance, constrained least squares, effects of model misspecification, and most especially prediction than in many other textbooks on linear models. This book is intended for master and PhD students with a basic grasp of statistical theory, matrix algebra and applied regression analysis, and for instructors of linear models courses. Solutions to the book''s exercises are available in the companion volume Linear Model Theory - Exercises and Solutions by the same author.


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This textbook presents a unified and rigorous approach to best linear unbiased estimation and prediction of parameters and random quantities in linear models, as well as other theory upon which much of the statistical methodology associated with linear models is based. The single most unique feature of the book is that each major concept or result is illustrated with one or more concrete examples or special cases. Commonly used methodologies based on the theory are presented in methodological interludes scattered throughout the book, along with a wealth of exercises that will benefit students and instructors alike. Generalized inverses are used throughout, so that the model matrix and various other matrices are not required to have full rank. Considerably more emphasis is given to estimability, partitioned analyses of variance, constrained least squares, effects of model misspecification, and most especially prediction than in many other textbooks on linear models. This book is intended for master and PhD students with a basic grasp of statistical theory, matrix algebra and applied regression analysis, and for instructors of linear models courses. Solutions to the book''s exercises are available in the companion volume Linear Model Theory - Exercises and Solutions by the same author.


Produktdetaljer
Sprog: Engelsk
Sider: 504
ISBN-13: 9783030520656
Indbinding: Paperback
Udgave:
ISBN-10: 303052065X
Kategori: Algebra
Udg. Dato: 3 nov 2021
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Oplagsdato: 3 nov 2021
Forfatter(e): Dale L. Zimmerman
Forfatter(e) Dale L. Zimmerman


Kategori Algebra


Sprog Engelsk


Indbinding Paperback


Sider 504


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm


Udg. Dato 3 nov 2021


Oplagsdato 3 nov 2021

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