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  1. Bog
  2. Matematik
  3. Algebra

Linear Model Theory

- With Examples and Exercises
Af: Dale L. Zimmerman Engelsk Paperback

Linear Model Theory

- With Examples and Exercises
Af: Dale L. Zimmerman Engelsk Paperback
Tjek vores konkurrenters priser

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.


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

Kategori Algebra

ISBN-13 9783030520656

Sprog Engelsk

Indbinding Paperback

Sider 504

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 3 nov 2021

Oplagsdato 3 nov 2021

Forlag Springer Nature Switzerland AG

Kategori sammenhænge