Linear Model Theory: Exercises and Solutions

By Jarrell C. Grout and Stephen F. Austin

1 A Brief Introduction.- 2 Selected Matrix Algebra Topics and Results.- 3 Generalized Inverses and Solutions to Sytems of Linear Equations.- 4 Moments of a Random Vector and of Linear and Quadratic Forms in a Random Vector.- 5 Types of Linear Models.- 6 Estimability.- 7 Least Squares Estimation for the Gauss-Markov Model.- 8 Least Squares Geometry and the Overall ANOVA.- 9 Least Squares Estimation and ANOVA for Partitioned Models.- 10 Constrained Least Squares Estimation and ANOVA.- 11 Best Linear Unbiased Estimation for the Aitken Model.- 12 Model Misspecification.- 13 Best Linear Unbiased Prediction.- 14 Distribution Theory.- 15 Inference for Estimable and Predictable Functions.- 16 Inference for Variance-Covariance Parameters.- 17 Empirical BLUE and BLUP.

• Format: Paperback
• Language: English
• ISBN: 3030520765
• ISBN13: 9783030520762
• Release Date: November 2021
• Publisher: Springer
• Length: 353 Pages
• Weight: 1.12 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"