Recent advances in directional statistics

A Pewsey, E García-Portugués - Test, 2021 - Springer
Mainstream statistical methodology is generally applicable to data observed in Euclidean
space. There are, however, numerous contexts of considerable scientific interest in which …

A tractable, parsimonious and flexible model for cylindrical data, with applications

T Abe, C Ley - Econometrics and Statistics, 2017 - Elsevier
New cylindrical distributions are proposed by combining the sine-skewed von Mises
distribution (circular part) with the Weibull distribution (linear part). This new model, the …

A hidden Markov model for the analysis of cylindrical time series

F Lagona, M Picone, A Maruotti - Environmetrics, 2015 - Wiley Online Library
A new hidden Markov model is proposed for the analysis of cylindrical time series, that is,
bivariate time series of intensities and angles. It allows us to segment cylindrical time series …

Bayesian estimation and hypothesis tests for a circular generalized linear model

K Mulder, I Klugkist - Journal of mathematical psychology, 2017 - Elsevier
Motivated by a study from cognitive psychology, we develop a Generalized Linear Model for
circular data within the Bayesian framework, using the von Mises distribution. Although …

Bayesian hidden Markov modelling using circular‐linear general projected normal distribution

G Mastrantonio, A Maruotti, G Jona‐Lasinio - Environmetrics, 2015 - Wiley Online Library
We introduce a multivariate hidden Markov model to jointly cluster time‐series observations
with different support, that is, circular and linear. Relying on the general projected normal …

Regression analysis of correlated circular data based on the multivariate von Mises distribution

F Lagona - Environmental and ecological statistics, 2016 - Springer
A regression model for correlated circular data is proposed by assuming that samples of
angular measurements are drawn from a multivariate von Mises distribution with mean and …

A time-dependent extension of the projected normal regression model for longitudinal circular data based on a hidden Markov heterogeneity structure

A Maruotti, A Punzo, G Mastrantonio… - … Research and Risk …, 2016 - Springer
The modelling of animal movement is an important ecological and environmental issue. It is
well-known that animals change their movement patterns over time, according to observable …

A zero-inflated hidden semi-Markov model with covariate-dependent sojourn parameters for analysing marine data in the Venice lagoon

L Ricciotti, M Picone, A Pollice… - Journal of the Royal …, 2024 - academic.oup.com
This paper introduces a concomitant-variable hidden semi-Markov model tailored to analyse
marine count data in the Venice lagoon. Our model targets acqua alta events, ie the …

The wrapped skew Gaussian process for analyzing spatio-temporal data

G Mastrantonio, AE Gelfand, G Jona Lasinio - … environmental research and …, 2016 - Springer
We consider modeling of angular or directional data viewed as a linear variable wrapped
onto a unit circle. In particular, we focus on the spatio-temporal context, motivated by a …

CircSpaceTime: an R package for spatial and spatio-temporal modelling of circular data

G Jona Lasinio, M Santoro… - Journal of Statistical …, 2020 - Taylor & Francis
CircSpaceTime is the only R package, currently available, that implements Bayesian models
for spatial and spatio-temporal interpolation of circular data. Such data are often found in …