Analyzing longitudinal circular data by projected normal models: a semi-parametric approach based on finite mixture models

A Maruotti - Environmental and Ecological Statistics, 2016 - Springer
The analysis of circular data has been recently the focus of a wide range of literature, with
the general objective of providing reliable parameter estimates in the presence of …

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 …

Bayesian analysis of semiparametric linear-circular models

S Bhattacharya, A Sengupta - Journal of agricultural, biological, and …, 2009 - Springer
In many environmental and agricultural studies, data are collected on both linear and
circular random variables, with possible dependence between the variables. Classically, the …

Measures of preferred direction for environmental and ecological circular data

BS Otieno, CM Anderson-Cook - Environmental and Ecological Statistics, 2006 - Springer
Circular or angular variables indicating direction or cyclical time can be of great interest to
scientists studying ecology, biology or environmental issues. A common problem of interest …

A mixture of linear-linear regression models for a linear-circular regression

AE Sikaroudi, C Park - Statistical Modelling, 2021 - journals.sagepub.com
We introduce a new approach to a linear-circular regression problem that relates multiple
linear predictors to a circular response. We follow a modelling approach of a wrapped …

Model selection versus traditional hypothesis testing in circular statistics: a simulation study

L Landler, GD Ruxton, EP Malkemper - Biology open, 2020 - journals.biologists.com
Many studies in biology involve data measured on a circular scale. Such data require
different statistical treatment from those measured on linear scales. The most common …

Directional data analysis under the general projected normal distribution

F Wang, AE Gelfand - Statistical methodology, 2013 - Elsevier
The projected normal distribution is an under-utilized model for explaining directional data.
In particular, the general version provides flexibility, eg, asymmetry and possible bimodality …

Estimation of finite mixture models of skew-symmetric circular distributions

Y Miyata, T Shiohama, T Abe - Metrika, 2020 - Springer
Abstract Analysis of circular data is challenging, since the usual statistical methods are
unsuitable and it is necessary to use circular periodic probabilistic models. Because some …

Symmetric circular models through duplication and cosine perturbation

T Abe, A Pewsey - Computational Statistics & Data Analysis, 2011 - Elsevier
Models for circular data displaying two diametrically opposed modes are considered. A
general construction which can be used to generate such models, founded upon doubling …

Modelling asymmetrically distributed circular data using the wrapped skew-normal distribution

A Pewsey - Environmental and Ecological Statistics, 2006 - Springer
We consider problems of inference for the wrapped skew-normal distribution on the circle. A
centered parametrization of the distribution is introduced, and simulation used to compare …