[BOOK][B] Introduction to clustering

P Giordani, MB Ferraro, F Martella, P Giordani… - 2020 - Springer
In this chapter, the basic concepts of clustering are introduced. Moreover, the most relevant
decisions to be made for the practical application of clustering methods are listed and briefly …

A new look at the inverse Gaussian distribution with applications to insurance and economic data

A Punzo - Journal of Applied Statistics, 2019 - Taylor & Francis
Insurance and economic data are often positive, and we need to take into account this
peculiarity in choosing a statistical model for their distribution. An example is the inverse …

Mixtures of matrix-variate contaminated normal distributions

SD Tomarchio, MPB Gallaugher, A Punzo… - … of Computational and …, 2022 - Taylor & Francis
Analysis of matrix-variate data is becoming ever more prevalent in the literature, especially
in the area of clustering and classification. Real data, including real matrix-variate data, are …

Fitting insurance and economic data with outliers: a flexible approach based on finite mixtures of contaminated gamma distributions

A Punzo, A Mazza, A Maruotti - Journal of Applied Statistics, 2018 - Taylor & Francis
Insurance and economic data are frequently characterized by positivity, skewness,
leptokurtosis, and multi-modality; although many parametric models have been used in the …

Robust clustering in regression analysis via the contaminated Gaussian cluster-weighted model

A Punzo, PD McNicholas - Journal of Classification, 2017 - Springer
The Gaussian cluster-weighted model (CWM) is a mixture of regression models with random
covariates that allows for flexible clustering of a random vector composed of response …

Robust model-based clustering with mild and gross outliers

A Farcomeni, A Punzo - Test, 2020 - Springer
We propose a model-based clustering procedure where each component can take into
account cluster-specific mild outliers through a flexible distributional assumption, and a …

Hidden Markov and semi-Markov models with multivariate leptokurtic-normal components for robust modeling of daily returns series

A Maruotti, A Punzo, L Bagnato - Journal of Financial …, 2019 - academic.oup.com
We introduce multivariate models for the analysis of stock market returns. Our models are
developed under hidden Markov and semi-Markov settings to describe the temporal …

Mixtures of multivariate contaminated normal regression models

A Mazza, A Punzo - Statistical Papers, 2020 - Springer
Mixtures of regression models (MRMs) are widely used to investigate the relationship
between variables coming from several unknown latent homogeneous groups. Usually, the …

The multivariate tail-inflated normal distribution and its application in finance

A Punzo, L Bagnato - Journal of Statistical Computation and …, 2021 - Taylor & Francis
The research objective of this paper is to handle situations where the empirical distribution
of multivariate real-valued data is elliptical and with heavy tails. Many statistical models …

Missing values and directional outlier detection in model-based clustering

H Tong, C Tortora - Journal of Classification, 2023 - Springer
Abstract Model-based clustering tackles the task of uncovering heterogeneity in a data set to
extract valuable insights. Given the common presence of outliers in practice, robust methods …