Mixture Model-Based Classification (Hardcover)

Introduction
Classification
Finite Mixture Models
Model-Based Clustering, Classification and Discriminant Analysis
Comparing Partitions
Packages
Data Sets
Outline of the Contents of this Monograph

Mixtures of Multivariate Gaussian Distributions
Historical Development
Parameter Estimation
Gaussian Parsimonious Clustering Models
Model Selection
Merging Gaussian Components
Illustrations
Comments

Mixtures of Factor Analyzers And Extensions
Factor Analysis
Mixture of Factor Analyzers
Parsimonious Gaussian Mixture Models
Expanded Parsimonious Gaussian Mixture Models
Mixture of Common Factor Analyzers
Illustrations
Comments

Dimension Reduction and High-Dimensional Data
Implicit and Explicit Approaches
The PGMM Family in High-Dimensional Applications
VSCC
clustvarsel and selvarclust
GMMDR
HD-GMM
Illustrations
Comments

Mixtures of Distributions with Varying Tail Weight
Mixtures of Multivariate t-Distributions
Mixtures of Power Exponential Distributions
Illustrations
Comments

Mixtures of Generalized Hyperbolic Distributions
Overview
Generalized Inverse Gaussian Distribution
Mixtures of Shifted Asymmetrical Laplace Distributions
SAL Mixtures Versus Gaussian Mixtures
Mixture of Generalized Hyperbolic Distributions
Mixture of Generalized Hyperbolic Factor Analyzers
Illustrations
Note on Normal Variance-Mean Mixtures
Comments

Mixtures of Multiple Scaled Distributions
Overview
Mixture of Multiple Scaled t-Distributions
Mixture of Multiple Scaled SAL Distributions
Mixture of Multiple Scaled Generalized Hyperbolic Distributions
Mixture of Coalesced Generalized Hyperbolic Distributions
Cluster Convexity
Illustrations
Comments

Methods for Longitudinal Data
Modified Cholesky Decomposition
Gaussian Mixture Modelling of Longitudinal Data
Using t-Mixtures
Illustrations
Comments

Miscellania
On the Definition of a Cluster
What is the Best Way to Perform Clustering, Classification, and Discriminant Analysis?
Mixture Model Averaging
Robust Clustering
Clustering Categorical Data
Cluster-Weighted Models
Mixed-Type Data
Alternatives to the EM Algorithm
Challenges and Open Questions
A Useful Mathematical Results

Bibliography