Mixture Model-Based Classification

Paul D. McNicholas

• Publisher: Chapman and Hall/CRC
• Year: 2016
• Print ISBN: 9781482225662
• eBook ISBN: 9781482225679
• Edition: 1
• Topic: Mathematics
• Subtopic: Probability & Statistics
• Index: Mathematics

"This is a great overview of the field of model-based clustering and classification by one of its leading developers. McNicholas provides a resource that I am certain will be used by researchers in statistics and related disciplines for quite some time. The discussion of mixtures with heavy tails and asymmetric distributions will place this text as the authoritative, modern reference in the mixture modeling literature." (Douglas Steinley, University of Missouri)

Mixture Model-Based Classification is the first monograph devoted to mixture model-based approaches to clustering and classification. This is both a book for established researchers and newcomers to the field. A history of mixture models as a tool for classification is provided and Gaussian mixtures are considered extensively, including mixtures of factor analyzers and other approaches for high-dimensional data. Non-Gaussian mixtures are considered, from mixtures with components that parameterize skewness and/or concentration, right up to mixtures of multiple scaled distributions. Several other important topics are considered, including mixture approaches for clustering and classification of longitudinal data as well as discussion about how to define a cluster

Paul D. McNicholas is the Canada Research Chair in Computational Statistics at McMaster University, where he is a Professor in the Department of Mathematics and Statistics. His research focuses on the use of mixture model-based approaches for classification, with particular attention to clustering applications, and he has published extensively within the field. He is an associate editor for several journals and has served as a guest editor for a number of special issues on mixture models.

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Contents
• List of Figures
• List of Tables
• Preface
• 1. Introduction
• 2. Mixtures of Multivariate Gaussian Distributions
• 3. Mixtures of Factor Analyzers and Extensions
• 4. Dimension Reduction and High-Dimensional Data
• 5. Mixtures of Distributions with Varying Tail Weight
• 6. Mixtures of Generalized Hyperbolic Distributions
• 7. Mixtures of Multiple Scaled Distributions
• 8. Methods for Longitudinal Data
• 9. Miscellania
• Appendix
• References
• Index