Dale L. Zimmerman

eBook, PDF

Linear Model Theory (eBook, PDF)

Exercises and Solutions

Beschreibung

This book contains 296 exercises and solutions covering a wide variety of topics in linear model theory, including generalized inverses, estimability, best linear unbiased estimation and prediction, ANOVA, confidence intervals, simultaneous confidence intervals, hypothesis testing, and variance component estimation. The models covered include the Gauss-Markov and Aitken models, mixed and random effects models, and the general mixed linear model. Given its content, the book will be useful for students and instructors alike. Readers can also consult the companion textbook Linear Model Theory - With Examples and Exercises by the same author for the theory behind the exercises.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 2.64MB

Barrierefreiheit

• Text-to-Speech

Autor

Dale L. Zimmerman is a Professor at the Department of Statistics and Actuarial Science, University of Iowa, USA. He received his Ph.D. in Statistics from Iowa State University in 1986. A Fellow of the American Statistical Association, his research interests include spatial statistics, longitudinal data analysis, multivariate analysis, mixed linear models, environmental statistics, and sports statistics. He has authored or co-authored three books and more than 90 articles in peer-reviewed journals. At the University of Iowa he teaches courses on linear models, regression analysis, spatial statistics, and mathematical statistics.

Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 353
• Erscheinungstermin: 2. November 2020
• Englisch
• ISBN-13: 9783030520748
• Artikelnr.: 62299439

Rezensionen

"The book presents with great detail the theory needed for estimation of linear functions of model parameters ... . The exposition of so many general results for prediction is a significant feature of the book. I also found particularly interesting the detailed presentation of ANOVA formulae ... . All these features make the book either a reference one or an excellent textbook for a graduate level course on linear models ... ." (Vassilis G. S. Vasdekis, Mathematical Reviews, September, 2022)

"This is a classic book to modern linear algebra. It is primarily about linear tranformations and therefore most of the theorems and proofs work for modern linear algebra. The book does start from the beginning and assumes no prior knowledge of the subject. It is also extremely well-written and logical with short and elegant proofs. ... The exercises are very good, and are a mixture of proof questions and concrete examples." (Rózsa Horváth-Bokor, zbMATH 1462.62004, 2021)