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 …

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 non-recursive formula for various moments of the multivariate normal distribution with sectional truncation

H Ogasawara - Journal of Multivariate Analysis, 2021 - Elsevier
A unified formula for various moments of the multivariate normal distribution with sectional
truncation is derived using a non-recursive method, where sectional truncation is given by …

The extended skew-normal-based stochastic frontier model with a solution to 'wrong skewness' problem

Z Wei, X Zhu, T Wang - Statistics, 2021 - Taylor & Francis
In this paper, a new extended skew-normal-based stochastic frontier model (SFM) is
proposed to investigate the relationship between the disturbance U (representing technical …

Flexible models for complex data with applications

C Ley, S Babić, D Craens - Annual Review of Statistics and Its …, 2021 - annualreviews.org
Probability distributions are the building blocks of statistical modeling and inference. It is
therefore of the utmost importance to know which distribution to use in what circumstances …

Accounting for stellar activity signals in radial-velocity data by using change point detection techniques

U Simola, A Bonfanti, X Dumusque… - Astronomy & …, 2022 - aanda.org
Context. Active regions on the photosphere of a star have been the major obstacle for
detecting Earth-like exoplanets using the radial velocity (RV) method. A commonly …

Hessian and increasing-Hessian orderings of scale-shape mixtures of multivariate skew-normal distributions and applications

M Amiri, N Balakrishnan - Journal of Computational and Applied …, 2022 - Elsevier
In this work, we establish some stochastic comparison results for the class of scale-shape
mixtures of multivariate skew-normal (SSSN) distributions. These multivariate stochastic …

Asymmetric dependence in the stochastic frontier model using skew normal copula

Z Wei, EM Conlon, T Wang - International Journal of Approximate …, 2021 - Elsevier
In this paper, a new skew normal copula-based stochastic frontier model (SFM) is proposed
to investigate the asymmetric dependence among the disturbances U (representing …

Multivariate unified skew-t distributions and their properties

K Wang, MJ Karling, RB Arellano-Valle… - Journal of Multivariate …, 2024 - Elsevier
The unified skew-t (SUT) is a flexible parametric multivariate distribution that accounts for
skewness and heavy tails in the data. A few of its properties can be found scattered in the …

Multivariate skew normal-based stochastic frontier models

X Zhu, Z Wei, T Wang - Journal of Statistical Theory and Practice, 2022 - Springer
In this paper, a new multivariate skew normal-based stochastic frontier model (SFM) is
developed to model the relationship between technical inefficiency and random noises. The …