Methods for generating families of univariate continuous distributions in the recent decades

C Lee, F Famoye, AY Alzaatreh - Wiley Interdisciplinary …, 2013 - Wiley Online Library
There has been a renewed interest in develo** more flexible statistical distributions in
recent decades. A major milestone in the methods for generating statistical distributions is …

[KSIĄŻKA][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 …

The multivariate skew-normal distribution

A Azzalini, AD Valle - Biometrika, 1996 - academic.oup.com
The paper extends earlier work on the so-called skew-normal distribution, a family of
distributions including the normal, but with an extra parameter to regulate skewness. The …

Statistical applications of the multivariate skew normal distribution

A Azzalini, A Capitanio - Journal of the Royal Statistical Society …, 1999 - Wiley Online Library
Azzalini and Dalla Valle have recently discussed the multivariate skew normal distribution
which extends the class of normal distributions by the addition of a shape parameter. The …

Kelley's Paradox and strength skewness in research on unconscious mental processes

DYH Lee, CJ Berry, DR Shanks - Psychonomic Bulletin & Review, 2024 - Springer
A widely adopted approach in research on unconscious perception and cognition involves
contrasting behavioral or neural responses to stimuli that have been presented to …

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 …

[KSIĄŻKA][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 …

Teaching about approximate confidence regions based on maximum likelihood estimation

WQ Meeker, LA Escobar - The American Statistician, 1995 - Taylor & Francis
Maximum likelihood (ML) provides a powerful and extremely general method for making
inferences over a wide range of data/model combinations. The likelihood function and …

The epsilon–skew–normal distribution for analyzing near-normal data

GS Mudholkar, AD Hutson - Journal of statistical planning and inference, 2000 - Elsevier
A family of asymmetric distributions, which first appeared in Fechner (1897,
Kollectivmasslehre. Leipzig, Engleman) is reparameterized using a skewness parameter ε …

Skewed multivariate models related to hidden truncation and/or selective reporting

BC Arnold, RJ Beaver, A Azzalini, N Balakrishnan… - Test, 2002 - Springer
The univariate skew-normal distribution was introduced by Azzalini in 1985 as a natural
extension of the classical normal density to accommodate asymmetry. He extensively …