Applications of linear and nonlinear models : fixed effects, random effects, and total least squares

Applications of linear and nonlinear models fixed effects, random effects, and total least squares

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 probabili...

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Bibliographische Detailangaben
1. Verfasser: Grafarend, Erik W. (VerfasserIn)
Weitere Verfasser: Awange, Joseph L. (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Berlin, Heidelberg u.a. Springer 2012
Schriftenreihe:Springer geophysics
Schlagworte:
Regression analysis > Linear models (Statistics) > Lineares Regressionsmodell > Nichtlineares Regressionsmodell
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Zusammenfassung: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: { by = bi versus -- c + by = bi} -- 10. The fifth problem of probabilistic regression -- 11. The sixth problem of probabilistic regression -- 12. The nonlinear problem of the 3d datum transformation and the procrustes algorithm -- 13. The sixth problem of generalized algebraic regression -- 14. Special problems of algebraic regression and stochastic estimation -- 15. 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.
Beschreibung:Literaturverz. S. 895 - 1009
Beschreibung:XXI, 1016 S.
graph. Darst.
235 mm x 155 mm
ISBN:3642222404
3-642-22240-4
9783642222405
978-3-642-22240-5