Applications of linear and nonlinear models fixed effects, random effects, and total least squares
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Heidelberg ;New York
Name of Publisher, Distributor, etc.
Springer-Verlag
Date of Publication, Distribution, etc.
c2012
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xxi, 1016 p. , ill. , 25 cm.
SERIES
Series Title
Springer geophysics
GENERAL NOTES
Text of Note
Includes bibliographical references )p. 895-1009( and index.
CONTENTS NOTE
Text of Note
1. The first problem of algebraic regression -- 2. The first problem of probabilistic regression:the bias problem -- 3. The second problem of algebraic regression -- 4. The second problem of probabilistic regression -- 5. The third problem of algebraic regression -- 6. The third problem of probabilistic regression -- 7. Overdetermined system of nonlinear equations on curved manifolds -- 8. The fourth problem of probabilistic regression -- 9. The fifth problem of algebraic regression: the system of conditional equations: homogeneous and inhomogeneous equations: ib = yb + c -- susrev ib = yb -- 01. The fifth problem of probabilistic regression -- 11. The sixth problem of probabilistic regression -- 21. The nonlinear problem of the 3d datum transformation and the procrustes algorithm -- 31. The sixth problem of generalized algebraic regression -- 41. Special problems of algebraic regression and stochastic estimation -- 51. Algebraic solutions of systems of equations -- A. Tensor algebra, linear algebra, matrix algebra, multilinear algebra -- B. Sampling distributions and their use: confidence intervals and confidence regions -- C. Statistical notions, random events and stochastic processes -- D. Basics of Groebner basis algebra.