ABSTRACT

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.

 

chapter 1|76 pages

Introduction to mixture models

chapter 2|44 pages

Mixture models for discrete data

chapter 3|24 pages

Mixture regression models

chapter 4|12 pages

Bayesian mixture models

chapter 5|31 pages

Label switching for mixture models

chapter 7|37 pages

Robust mixture regression models

chapter 8|27 pages

Mixture models for high-dimensional data

chapter 9|26 pages

Semiparametric mixture models

chapter 10|39 pages

Semiparametric mixture regression models