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David Ruppert, Semiparametric Regression
http://www.stat.tamu.edu/~carroll/semiregbook/
http://www.uow.edu.au/~mwand/webspr/rsplus.html
Semiparametric regression is concerned with the flexible incorporation of non-linear functional relationships in regression analyses. Any application area that benefits from regression analysis can also benefit from semiparametric regression. Assuming only a basic familiarity with ordinary parametric regression, this user-friendly book explains the techniques and benefits of semiparametric regression in a concise and modular fashion. The authors make liberal use of graphics and examples plus case studies taken from environmental, financial, and other applications. They include practical advice on implementation and pointers to relevant software. The book is suitable as a textbook for students with little background in regression as well as a reference book for statistically oriented scientists such as biostatisticians, econometricians, quantitative social scientists, epidemiologists, with a good working knowledge of regression and the desire to begin using more flexible semiparametric models. Even experts on semiparametric regression should find something new here.
Table of Contents
1. Introduction
2. Parametric regression
3. Scatterplot smoothing
4. Mixed models
5. Automatic scatterplot smoothing
6. Inference
7. Simple semiparametric models
8. Additive models
9. Semiparametric mixed models
10. Generalized parametric regression
11. Generalized additive models
12. Interaction models
13. Bivariate smoothing
14. Variance function estimation
15. Measurement error
16. Bayesian semiparametric regression
17. Spatially adaptive splines
18. Analyses of case studies
19. Epilogue
A. Matrix and linear algebra
B. Vector differential equations
C. Useful results from probability theory
D. Theory for penalized splines
E. Computational issues
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