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Full Description
Mixture models are a powerful tool for analyzing complex and heterogeneous datasets across many scientific fields, from finance to genomics. Mixture Models: Parametric, Semiparametric, and New Directions provides an up-to-date introduction to these models, their recent developments, and their implementation using R. It fills a gap in the literature by covering not only the basics of finite mixture models, but also recent developments such as semiparametric extensions, robust modeling, label switching, and high-dimensional modeling.
Features
Comprehensive overview of the methods and applications of mixture models
Key topics include hypothesis testing, model selection, estimation methods, and Bayesian approaches
Recent developments, such as semiparametric extensions, robust modeling, label switching, and high-dimensional modeling
Examples and case studies from such fields as astronomy, biology, genomics, economics, finance, medicine, engineering, and sociology
Integrated R code for many of the models, with code and data available in the R Package MixSemiRob
Mixture Models: Parametric, Semiparametric, and New Directions is a valuable resource for researchers and postgraduate students from statistics, biostatistics, and other fields. It could be used as a textbook for a course on model-based clustering methods, and as a supplementary text for courses on data mining, semiparametric modeling, and high-dimensional data analysis.
Contents
1. 1. Introduction to Mixture Models. 2. Mixture models for discrete data. 3. Mixture regression models. 4. Bayesian mixture models. 5. Label switching for mixture models. 6. Hypothesis testing and model selection for mixture models. 7. Robust mixture regression models. 8. Mixture models for high dimensional data. 9. Semiparametric mixture models. 10. Semiparametric mixture regression models.
