Modern Directional Statistics collects important advances in methodology and theory for
directional statistics over the last two decades. It provides a detailed overview and analysis …

Univariate continuous distributions are one of the fundamental components on which
statistical modelling, ancient and modern, frequentist and Bayesian, multi‐dimensional and …

This article presents a class of four-parameter distributions for circular data that are
unimodal, possess simple characteristic and density functions and a tractable distribution …

Inference in Two-Piece Location-Scale Models with Jeffreys Priors Page 1 Bayesian Analysis
(2014) 9, Number 1, pp. 1–22 Inference in Two-Piece Location-Scale Models with Jeffreys …

We provide four-parameter families of distributions on the circle which are unimodal and
display the widest ranges of both skewness and peakedness yet available. Our approach is …

In times where more and more data become available and where the data exhibit rather
complex structures (significant departure from symmetry, heavy or light tails), flexible …

We formalise and generalise the definition of the family of univariate double two–piece
distributions, obtained by using a density–based transformation of unimodal symmetric …

A version of the sinh-arcsinh transformation is used to generate a skew extension of
Student'st distribution which provides an alternative to previously proposed skew t …

This paper investigates the surprisingly wide and practicable class of continuous
distributions that have densities of the form 2g {t (x)} where g is the density of a symmetric …

Datasets with extreme observations and/or heavy-tailed error distributions are commonly
encountered and should be analyzed with careful consideration of these features from a …