In the name of Allah the Merciful

Mixture Models: Parametric, Semiparametric, and New Directions

Weixin Yao, Sijia Xiang, B0CYTLJ9XY, 0367481820, 9780367481827, 9781032728155, 9781003038511, 978-0367481827, 978-1032728155, 978-1003038511, 978-0-367-48182-7, 978-1-032-72815-5, 978-1-003-03851-1

English | 2024 | PDF | 10 MB | 398 Pages

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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.