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Computational Statistics & Data Analysis | 2014

Model-based clustering via linear cluster-weighted models

Salvatore Ingrassia; S Minotti; Antonio Punzo

A novel family of twelve mixture models with random covariates, nested in the linear t cluster-weighted model (CWM), is introduced for model-based clustering. The linear t CWM was recently presented as a robust alternative to the better known linear Gaussian CWM. The proposed family of models provides a unified framework that also includes the linear Gaussian CWM as a special case. Maximum likelihood parameter estimation is carried out within the EM framework, and both the BIC and the ICL are used for model selection. A simple and effective hierarchical-random initialization is also proposed for the EM algorithm. The novel model-based clustering technique is illustrated in some applications to real data. Finally, a simulation study for evaluating the performance of the BIC and the ICL is presented.


Advanced Data Analysis and Classification | 2013

Clustering and classification via cluster-weighted factor analyzers

Sanjeena Subedi; Antonio Punzo; Salvatore Ingrassia; Paul D. McNicholas

In model-based clustering and classification, the cluster-weighted model is a convenient approach when the random vector of interest is constituted by a response variable


Journal of Classification | 2015

The Generalized Linear Mixed Cluster-Weighted Model

Salvatore Ingrassia; Antonio Punzo; Giorgio Vittadini; S Minotti


Statistical Methods and Applications | 2015

Cluster-weighted \(t\)-factor analyzers for robust model-based clustering and dimension reduction

Sanjeena Subedi; Antonio Punzo; Salvatore Ingrassia; Paul D. McNicholas

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Statistical Methods and Applications | 2011

Assessing the pattern of covariance matrices via an augmentation multiple testing procedure

Francesca Greselin; Salvatore Ingrassia; Antonio Punzo


Journal of Time Series Analysis | 2012

The Autodependogram: A Graphical Device to Investigate Serial Dependences

Luca Bagnato; Antonio Punzo; Orietta Nicolis

and by a vector


Journal of Statistical Computation and Simulation | 2016

Hypothesis Testing for Mixture Model Selection

Antonio Punzo; Ryan P. Browne; Paul D. McNicholas


Journal of Computational and Graphical Statistics | 2016

Clustering Multivariate Longitudinal Observations: The Contaminated Gaussian Hidden Markov Model

Antonio Punzo; Antonello Maruotti

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The American Statistician | 2013

Closed Likelihood Ratio Testing Procedures to Assess Similarity of Covariance Matrices

Francesca Greselin; Antonio Punzo


Archive | 2011

Discrete Beta Kernel Graduation of Age-Specific Demographic Indicators

Angelo Mazza; Antonio Punzo

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