Nonlinear regression
著者
書誌事項
Nonlinear regression
(Wiley series in probability and mathematical statistics, . Probability and mathematical statistics)
Wiley, c1989
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注記
Bibliography: p. 711-743
Includes indexes
内容説明・目次
内容説明
This text/reference provides a broad survey of aspects of model-building and statistical inference. Presents an accessible synthesis of current theoretical literature, requiring only familiarity with linear regression methods. The three chapters on central computational questions comprise a self-contained introduction to unconstrained optimization. Includes many illustrative practical examples.
目次
1. Model Building. 2. Estimation Methods. 3. Commonly Encountered Problems. 4. Measures of Curvature and Nonlinearity. 5. Statistical Inference. 6. Autocorrelated Errors. 7. Growth Models. 8. Compartmental Models. 9. Multiphase and Spline Regressions. 10. Errors-in-Variables Models. 11. Multiresponse Nonlinear Models. 12. Asymptotic Theory. 13. Unconstrained Optimization. 14. Computational Methods for Nonlinear Least Squares. 15. Software Considerations. Appendix A. Vectors. Appendix B. Differential Geometry. Appendix C. Stochastic Differential Equations. Appendix D. Multiple Linear Regression. Appendix E. Minimization Subject to Linear Constraints. References. Author Index. Subject Index.
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