Introduction to Nonparametric Regression

ISBN-13: 9780471745839 / Angielski / Twarda / 2005 / 568 str.

Kunio Takezawa

Opis

An easy-to-grasp introduction to nonparametric regression

This book's straightforward, step-by-step approach provides an excellent introduction to the field for novices of nonparametric regression. Introduction to Nonparametric Regression clearly explains the basic concepts underlying nonparametric regression and features:
* Thorough explanations of various techniques, which avoid complex mathematics and excessive abstract theory to help readers intuitively grasp the value of nonparametric regression methods
* Statistical techniques accompanied by clear numerical examples that further assist readers in developing and implementing their own solutions
* Mathematical equations that are accompanied by a clear explanation of how the equation was derived


The first chapter leads with a compelling argument for studying nonparametric regression and sets the stage for more advanced discussions. In addition to covering standard topics, such as kernel and spline methods, the book provides in-depth coverage of the smoothing of histograms, a topic generally not covered in comparable texts.

With a learning-by-doing approach, each topical chapter includes thorough S-Plus? examples that allow readers to duplicate the same results described in the chapter. A separate appendix is devoted to the conversion of S-Plus objects to R objects. In addition, each chapter ends with a set of problems that test readers' grasp of key concepts and techniques and also prepares them for more advanced topics.

This book is recommended as a textbook for undergraduate and graduate courses in nonparametric regression. Only a basic knowledge of linear algebra and statistics is required. In addition, this is an excellent resource for researchers and engineers in such fields as pattern recognition, speech understanding, and data mining. Practitioners who rely on nonparametric regression for analyzing data in the physical, biological, and social sciences, as well as in finance and economics, will find this an unparalleled resource.

Recenzje

" provides an accessible theoretical treatment of nonparametric regression." ( Journal of the American Statistical Association, December 2006)

" I like this book, and recommend it to graduate students and researchers who plan to implement nonparametric models in their research." (Technometrics, November 2006)

"A very useful book clearly presenting basic concepts of nonparametric regression and applications to various real–life situations highly recommended." (CHOICE, June 2006)

" a practical introduction to nonparametric regression " (Journal of Quality Technology, April 2006)

" the presentation is very lucid and easy–to–follow this book will highly be appreciated by students." (MAA Reviews, March 14, 2006)

"...deals concisely with the application of non–parametric regression to multidimensional data..."  (Journal of Applied Statistics, 2007)

Spis treści

Preface.

Acknowledgments.

1. Exordium.

2. Smoothing for Data with an Equispaced Predictor.

3. Nonparametric Regression for One–Dimensional Predictor.

4. Multidimensional Smoothing.

5. Nonparametric Regression with Predictors Represented as Distributions.

6. Smoothing of Histograms and Nonparametric Probability Density Functions.

7. Pattern Recognition.

Appendix A: Creation and Applications of B–Spline Bases.

Appendix B: R Objects.

Appendix C: Further Readings.

Index.

O autorze

KUNIO TAKEZAWA, PhD, is a Specific Research Scientist in the Department of Information Science and Technology at the National Agricultural Research Center, Japan. He is also an Associate Professor in the Cooperative Graduate School System at the Graduate School of Life and Environmental Sciences at the University of Tsukuba, Japan. Dr. Takezawa holds several patents in mathematics and is the recipient of a Research Award from the Japan Science and Technology Agency and a Thesis Award from the Japanese Agricultural Systems Society.