Linear and Nonlinear Models Fixed effects, random effects, and total least squares /

• Main Authors: Grafarend, Erik (Author), Awange, Joseph (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Subjects: Earth sciences.; Geophysics.; Matrix theory.; Algebra.; Statistics.; Earth Sciences.; Geophysics/Geodesy.; Linear and Multilinear Algebras, Matrix Theory.; Statistical Theory and Methods.

Here we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point of view is both an algebraic view as well as a stochastic one. For example, there is an equivalent lemma between a best, linear uniformly unbiased...

Table of Contents:

• The first problem of algebraic regression
• The first problem of algebraic regression: the bias problem Special Gauss-Markov model with datum defects, LUMBE
• The second problem of algebraic regression Inconsistent system of linear observational equations
• The second problem of probabilistic regression Special Gauss-Markov model without datum defect
• The third problem of algebraic regression
• The third problem of probabilistic regression Special Gauss-Markov model without datum defect
• Overdetermined system of nonlinear equations on curved manifolds inconsistent system of directional observational equations
• The fourth problem of probabilistic regression Special Gauss-Markov model with random effects
• Appendix A-D
• References
• Index.