[КНИГА][B] The skew-normal and related families

A Azzalini - 2013 - books.google.com
Interest in the skew-normal and related families of distributions has grown enormously over
recent years, as theory has advanced, challenges of data have grown, and computational …

An overview on the progeny of the skew-normal family—A personal perspective

A Azzalini - Journal of Multivariate Analysis, 2022 - Elsevier
In the last two decades or so, much work has been dedicated to the portion of distribution
theory stemming from the skew-normal distribution and its ramification. This contribution …

The skew‐normal distribution and related multivariate families

A Azzalini - Scandinavian journal of statistics, 2005 - Wiley Online Library
This paper provides an introductory overview of a portion of distribution theory which is
currently under intense development. The starting point of this topic has been the so‐called …

[КНИГА][B] Skew-elliptical distributions and their applications: a journey beyond normality

MG Genton - 2004 - books.google.com
This book reviews the state-of-the-art advances in skew-elliptical distributions and provides
many new developments in a single volume, collecting theoretical results and applications …

Sinh-arcsinh distributions

MC Jones, A Pewsey - Biometrika, 2009 - academic.oup.com
We introduce the sinh-arcsinh transformation and hence, by applying it to a generating
distribution with no parameters other than location and scale, usually the normal, a new …

On mixtures of skew normal and skew-distributions

SX Lee, GJ McLachlan - Advances in Data Analysis and Classification, 2013 - Springer
Finite mixtures of skew distributions have emerged as an effective tool in modelling
heterogeneous data with asymmetric features. With various proposals appearing rapidly in …

[КНИГА][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 …

Robust Likelihood Methods Based on the Skew‐t and Related Distributions

A Azzalini, MG Genton - International Statistical Review, 2008 - Wiley Online Library
The robustness problem is tackled by adopting a parametric class of distributions flexible
enough to match the behaviour of the observed data. In a variety of practical cases, one …

A unified view on skewed distributions arising from selections

RB Arellano‐Valle, MD Branco… - Canadian Journal of …, 2006 - Wiley Online Library
Parametric families of multivariate nonnormal distributions have received considerable
attention in the past few decades. The authors propose a new definition of a selection …

[HTML][HTML] Maximum likelihood estimation for multivariate skew normal mixture models

TI Lin - Journal of Multivariate Analysis, 2009 - Elsevier
This paper provides a flexible mixture modeling framework using the multivariate skew
normal distribution. A feasible EM algorithm is developed for finding the maximum likelihood …