[图书][B] Modern directional statistics
C Ley, T Verdebout - 2017 - taylorfrancis.com
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 …
directional statistics over the last two decades. It provides a detailed overview and analysis …
On families of distributions with shape parameters
MC Jones - International Statistical Review, 2015 - Wiley Online Library
Univariate continuous distributions are one of the fundamental components on which
statistical modelling, ancient and modern, frequentist and Bayesian, multi‐dimensional and …
statistical modelling, ancient and modern, frequentist and Bayesian, multi‐dimensional and …
A tractable and interpretable four-parameter family of unimodal distributions on the circle
S Kato, MC Jones - Biometrika, 2015 - academic.oup.com
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 …
unimodal, possess simple characteristic and density functions and a tractable distribution …
Inference in two-piece location-scale models with Jeffreys priors
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 …
(2014) 9, Number 1, pp. 1–22 Inference in Two-Piece Location-Scale Models with Jeffreys …
Inverse Batschelet distributions for circular data
MC Jones, A Pewsey - Biometrics, 2012 - academic.oup.com
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 …
display the widest ranges of both skewness and peakedness yet available. Our approach is …
Flexible modelling in statistics: past, present and future
C Ley - Journal de la Société Française de Statistique, 2015 - numdam.org
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 …
complex structures (significant departure from symmetry, heavy or light tails), flexible …
Bayesian modelling of skewness and kurtosis with two-piece scale and shape distributions
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 …
distributions, obtained by using a density–based transformation of unimodal symmetric …
Skew t distributions via the sinh-arcsinh transformation
JF Rosco, MC Jones, A Pewsey - Test, 2011 - Springer
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 …
Student'st distribution which provides an alternative to previously proposed skew t …
Generating distributions by transformation of scale
MC Jones - Statistica Sinica, 2014 - JSTOR
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 …
distributions that have densities of the form 2g {t (x)} where g is the density of a symmetric …
Robust distributional regression with automatic variable selection
M O'Neill, K Burke - arXiv preprint arXiv:2212.07317, 2022 - arxiv.org
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 …
encountered and should be analyzed with careful consideration of these features from a …