Applications of Linear and Nonlinear Models : Fixed Effects, Random Effects, and Total Least Squares - Grafarend, Erik.; Awange, Joseph L.; SpringerLink (Online service) (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012)
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.
Keywords: Geophysics; Matrix theory; Algebra; Statistics .; Geophysics/Geodesy.; Linear and Multilinear Algebras, Matrix Theory; Statistical Theory and Methods