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 …

[HTML][HTML] The joint projected normal and skew-normal: A distribution for poly-cylindrical data

G Mastrantonio - Journal of Multivariate Analysis, 2018 - Elsevier
This paper introduces a multivariate circular–linear (or poly-cylindrical) distribution obtained
by combining the projected and the skew-normal. We show the flexibility of our proposal, its …

Finite Mixtures of Multivariate Wrapped Normal Distributions for Model Based Clustering of p-Torus Data

L Greco, PL Novi Inverardi… - Journal of Computational …, 2023 - Taylor & Francis
We consider a finite mixture model of multivariate Wrapped Normal distributions to handle
non homogeneous circular data on ap-dimensional torus (p≥ 2). The Wrapped Normal …

Model‐based clustering for noisy longitudinal circular data, with application to animal movement

M Ranalli, A Maruotti - Environmetrics, 2020 - Wiley Online Library
In this work, we introduce a model for circular data analysis to robustly estimate parameters,
under a longitudinal clustering setting. A hidden Markov model for longitudinal circular data …

The wrapped XLindley distribution

E Zinhom, MM Nassar, SS Radwan… - … and Ecological Statistics, 2023 - Springer
In the study of many environmental phenomena, circular statistical analysis and applications
to directional data are crucial. In this paper, we introduce the wrapped XLindley distribution …

Families of discrete circular distributions with some novel applications

KV Mardia, K Sriram - Sankhya A, 2023 - Springer
We give a unified treatment of constructing families of circular discrete distributions. Some of
these families are deduced from established distributions such as von Mises and wrapped …

Fuzzy c-Means Directional Clustering (FCMDC) algorithm using trigonometric approximation

O Kesemen, Ö Tezel, E Özkul… - Turkish Journal of …, 2020 - journals.tubitak.gov.tr
Cluster analysis is widely used in data analysis. Statistical data analysis is generally
performed on the linear data. If the data has directional structure, classical statistical …

[PDF][PDF] Butterworth Wind Direction Statistical Model with Functional Relationship

NA Mokhtar, B Badyalina, KL Chang… - Applied Mathematical …, 2022 - m-hikari.com
Wind direction is vital in monitoring the global climate and weather patterns. The nature of
wind direction that is circular makes the data unsuitable to be analysed with regular …

[引用][C] Wrapped Akash Distribution

A Al-khazaleh - Electronic Journal of Applied Statistical Analysis, 2021