Bayesian Methods for Nonlinear Classification and Regression
Wiley Series in Probability and Statistics

1. Edition March 2002
296 Pages, Hardcover
Wiley & Sons Ltd
Short Description
Bayesian methods represent a more intuitive approach to statistical analysis. Nonlinear models offer more flexibility, and their implementation has now become much easier due to increases in computational power. This title is the first book to bring together, in a consistent statistical framework, the ideas of nonlinear modeling and Bayesian methods.
Nonlinear Bayesian modelling is a relatively new field, but one that has seen a recent explosion of interest. Nonlinear models offer more flexibility than those with linear assumptions, and their implementation has now become much easier due to increases in computational power. Bayesian methods allow for the incorporation of prior information, allowing the user to make coherent inference. Bayesian Methods for Nonlinear Classification and Regression is the first book to bring together, in a consistent statistical framework, the ideas of nonlinear modelling and Bayesian methods.
* Focuses on the problems of classification and regression using flexible, data-driven approaches.
* Demonstrates how Bayesian ideas can be used to improve existing statistical methods.
* Includes coverage of Bayesian additive models, decision trees, nearest-neighbour, wavelets, regression splines, and neural networks.
* Emphasis is placed on sound implementation of nonlinear models.
* Discusses medical, spatial, and economic applications.
* Includes problems at the end of most of the chapters.
* Supported by a web site featuring implementation code and data sets.
Primarily of interest to researchers of nonlinear statistical modelling, the book will also be suitable for graduate students of statistics. The book will benefit researchers involved inregression and classification modelling from electrical engineering, economics, machine learning and computer science.
Acknowledgements.
Introduction
Bayesian Modelling
Curve Fitting
Surface Fitting
Classification using Generalised Nonlinear Models
Bayesian Tree Models
Partition Models
Nearest-Neighbour Models
Multiple Response Models
Appendix A: Probability Distributions
Appendix B: Inferential Processes
References
Index
Author Index