The problem of clustering probability density functions is emerging in different scientific domains. The methods proposed for clustering probability density functions are mainly focused on univariate settings and are based on heuristic clustering solutions. New aspects of the problem associated...

A model-based clustering approach which contextually performs dimension reduction and variable selection is presented. Dimension reduction is achieved by assuming that the data have been generated by a linear factor model with latent variables modeled as Gaussian mixtures. Variable selection is...

In the general classification context the recourse to the so-called Bayes decision rule requires to estimate the class conditional probability density functions. A mixture model for the observed variables which is derived by assuming that the data have been generated by an independent factor...

Mixtures of factor analyzers have been receiving wide interest in statistics as a tool for performing clustering and dimension reduction simultaneously. In this model it is assumed that, within each component, the data are generated according to a factor model. Therefore, the number of...

The Health and Retirement Study (HRS) is funded by the National Institute on Aging of US with the aim of investigating the health, social and economic implications of the aging of the American population. The participants of the study receive a thorough in-home clinical and neuropsychological...

Recently, different mixture models have been proposed for multilevel data, generally requiring the local independence assumption. In this work, this assumption is relaxed by allowing each mixture component at the lower level of the hierarchical structure to be modeled according to a multivariate...

Some real problems, such as image recognition or the analysis of gene expression data, involve the observation of a very large number of variables on a few units. In such a context conventional classification methods are difficult to employ both from analytical and interpretative points of view....