Nonlinear Regression Analysis and Its Applications

ISBN-13: 9780470139004 / Angielski / Miękka / 2007 / 392 str.

Douglas M. Bates; Donald G. Watts

Opis

Wiley-Interscience Paperback Series The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. "The authors have put together an extraordinary presentation of concepts and methods concerning the use and analysis of nonlinear regression models . . . highly recommend ed] . . . for anyone needing to use and/or understand issues concerning the analysis of nonlinear regression models."
--Technometrics " This book] provides a good balance of relevant theory and application with many examples . . . and it] provides the most balanced approach to theory and application appropriate for a first course in nonlinear regression modeling for graduate statistics students."
--Mathematical Reviews " This book] joins a distinguished list of publications with a reputation for balancing technical rigor with readability, and theory with application. It] upholds tradition . . . and is] a worthwhile reference for the marketing researcher with a serious interest in linear models."
--Journal of Marketing Research This book offers a balanced presentation of the theoretical, practical, and computational aspects of nonlinear regression and provides background material on linear regression, including the geometrical development for linear and nonlinear least squares. The authors employ real data sets throughout, and their extensive use of geometric constructs and continuing examples makes the progression of ideas appear very natural. The book also includes pseudocode for computing algorithms.

Spis treści

Review of Linear Regression.

Nonlinear Regression: Iterative Estimation and Linear Approximations.

Practical Considerations in Nonlinear Regression.

Multiresponse Parameter Estimation.

Models Defined by Systems of Differential Equations.

Graphical Summaries of Nonlinear Inference Regions.

Curvature Measures of Nonlinearity.

Appendix 1: Data Sets Used in Examples.

Appendix 2: QR Decompositions Using Householder Transformations.

Appendix 3: Pseudocode for Computing Algorithms.

Appendix 4: Data Sets Used in Problems.

Appendix 5: Evaluating Matrix Exponentials and Convolutions.

Appendix 6: Interpolating Profile Pair Contours.

Appendix 7: Key to Data Sets.

References.

Bibliography.

Index.

O autorze

Douglas M. Bates, PhD, is Professor of Statistics at the University of Wisconsin Madison. Donald G. Watts, PhD, is Professor Emeritus in Statistics at Queens University in Ontario, Canada.