Finite Mixture Models

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John Wiley & Sons, 22.03.2004 - 419 Seiten
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An up-to-date, comprehensive account of major issues in finite mixture modeling
This volume provides an up-to-date account of the theory and applications of modeling via finite mixture distributions. With an emphasis on the applications of mixture models in both mainstream analysis and other areas such as unsupervised pattern recognition, speech recognition, and medical imaging, the book describes the formulations of the finite mixture approach, details its methodology, discusses aspects of its implementation, and illustrates its application in many common statistical contexts.
Major issues discussed in this book include identifiability problems, actual fitting of finite mixtures through use of the EM algorithm, properties of the maximum likelihood estimators so obtained, assessment of the number of components to be used in the mixture, and the applicability of asymptotic theory in providing a basis for the solutions to some of these problems. The author also considers how the EM algorithm can be scaled to handle the fitting of mixture models to very large databases, as in data mining applications. This comprehensive, practical guide:
* Provides more than 800 references-40% published since 1995
* Includes an appendix listing available mixture software
* Links statistical literature with machine learning and pattern recognition literature
* Contains more than 100 helpful graphs, charts, and tables
Finite Mixture Models is an important resource for both applied and theoretical statisticians as well as for researchers in the many areas in which finite mixture models can be used to analyze data.
 

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Inhalt

1 General Introduction
1
2 ML Fitting of Mixture Models
40
3 Multivariate Normal Mixtures
81
4 Bayesian Approach to Mixture Analysis
117
5 Mixtures with Nonnormal Components
135
6 Assessing the Number of Components in Mixture Models
175
7 Multivariate t Mixtures
221
8 Mixtures of Factor Analyzers
238
10 Mixture Models for FailureTime Data
268
11 Mixture Analysis of Directional Data
287
12 Variants of the EM Algorithm for Large Databases
302
13 Hidden Markov Models
326
Mixture Software
343
References
349
Author Index
395
Subject Index
407

9 Fitting Mixture Models to Binned Data
257

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Über den Autor (2004)

GEOFFREY McLACHLAN, PhD, DSc, is Professor in the Department of Mathematics at the University of Queensland, Australia.

DAVID PEEL, PhD, is a research fellow in the Department of Mathematics at the University of Queensland, Australia.

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