Finite mixture models

GJ McLachlan, SX Lee… - Annual review of statistics …, 2019‏ - annualreviews.org
The important role of finite mixture models in the statistical analysis of data is underscored
by the ever-increasing rate at which articles on mixture applications appear in the statistical …

Why ordinal variables can (almost) always be treated as continuous variables: Clarifying assumptions of robust continuous and ordinal factor analysis estimation …

A Robitzsch - Frontiers in education, 2020‏ - frontiersin.org
The analysis of factor structures is one of the most critical psychometric applications.
Frequently, variables (ie, items or indicators) resulting from questionnaires using ordinal …

Distance metrics and clustering methods for mixed‐type data

AH Foss, M Markatou, B Ray - International Statistical Review, 2019‏ - Wiley Online Library
In spite of the abundance of clustering techniques and algorithms, clustering mixed interval
(continuous) and categorical (nominal and/or ordinal) scale data remain a challenging …

Model-based clustering

PD McNicholas - Journal of Classification, 2016‏ - Springer
The notion of defining a cluster as a component in a mixture model was put forth by
Tiedeman in 1955; since then, the use of mixture models for clustering has grown into an …

[HTML][HTML] Mixtures of skew-t factor analyzers

PM Murray, RP Browne, PD McNicholas - Computational Statistics & Data …, 2014‏ - Elsevier
A mixture of skew-t factor analyzers is introduced as well as a family of mixture models
based thereon. The particular formulation of the skew-t distribution used arises as a special …

A selective overview of skew-elliptical and related distributions and of their applications

C Adcock, A Azzalini - Symmetry, 2020‏ - mdpi.com
Within the context of flexible parametric families of distributions, much work has been
dedicated in recent years to the theme of skew-symmetric distributions, or symmetry …

Banks' business models in the euro area: a cluster analysis in high dimensions

M Farnè, AT Vouldis - Annals of Operations Research, 2021‏ - Springer
We propose a clustering method for large dimensional data to classify the 365 largest euro
area financial institutions according to their business model. The proposed clustering …

An overview of skew distributions in model-based clustering

SX Lee, GJ McLachlan - Journal of Multivariate Analysis, 2022‏ - Elsevier
The literature on non-normal model-based clustering has continued to grow in recent years.
The non-normal models often take the form of a mixture of component densities that offer a …

A mixture of generalized hyperbolic factor analyzers

C Tortora, PD McNicholas, RP Browne - Advances in Data Analysis and …, 2016‏ - Springer
The mixture of factor analyzers model, which has been used successfully for the model-
based clustering of high-dimensional data, is extended to generalized hyperbolic mixtures …

A mixture of common skew‐t factor analysers

PM Murray, PD McNicholas, RP Browne - Stat, 2014‏ - Wiley Online Library
A mixture of common skew‐t factor analysers model is introduced for model‐based
clustering of high‐dimensional data. By assuming common factors, this model allows …