Directional-package

Circular-linear regression, spherical-spherical regression, spherical regression, discriminant analysis, ANOVA for circular and (hyper-)spherical data, tests for eaquality of conentration parameters, maximum likelihood estimation of the parameters of many distributions, random values generation from various distributions, contour plots and many more functions are included.

 regression

 discriminant analysis

 ANOVA

 simulation

 graphs

 spherical data 

 Circular data 

 Directional data 

A collection of functions for directional data (including massive data, with millions of observations) analysis.
Hypothesis testing, discriminant and regression analysis, MLE of distributions and more are included.
The standard textbook for such data is the "Directional Statistics" by Mardia, K. V. and Jupp, P. E. (2000).
Other references include a) Phillip J. Paine, Simon P. Preston Michail Tsagris and Andrew T. A. Wood (2018).
"An elliptically symmetric angular Gaussian distribution". Statistics and Computing 28(3): 689-697. <doi:10.1007/s11222-017-9756-4>.
b) Tsagris M. and Alenazi A. (2019). "Comparison of discriminant analysis methods on the sphere".
Communications in Statistics: Case Studies, Data Analysis and Applications 5(4):467--491. <doi:10.1080/23737484.2019.1684854>.
c) P. J. Paine, S. P. Preston, M. Tsagris and Andrew T. A. Wood (2020).
"Spherical regression models with general covariates and anisotropic errors".
Statistics and Computing 30(1): 153--165. <doi:10.1007/s11222-019-09872-2>.
d) Tsagris M. and Alenazi A. (2024). "An investigation of hypothesis testing procedures for circular and spherical mean vectors".
Communications in Statistics-Simulation and Computation, 53(3): 1387--1408. <doi:10.1080/03610918.2022.2045499>.
e) Tsagris M. and Alzeley O. (2023). "Circular and spherical projected Cauchy distributions: A Novel Framework for Circular and Directional Data Modeling". <doi:10.48550/arXiv.2302.02468>.
f) Zehao Yu and Xianzheng Huang (2024). A new parameterization for elliptically symmetric angular Gaussian distributions of arbitrary dimension.
Electronic Journal of Statistics, 18(1): 301--334. <doi:10.1214/23-EJS2210>.
g) Tsagris M. (2024). "Directional data analysis using the spherical Cauchy and the Poisson-kernel based distribution". <doi:10.48550/arXiv.2409.03292>.

Michail Tsagris

Directional

A Collection of Functions for Directional Data Analysis

Giorgos Athineou

Christos Adam

Anamul Sajib

Eli Amson

Zehao Yu

Directional-package function

Michail Tsagris <a href="/link/mtsagris%40uoc.gr?package=Directional&version=6.8" data-mini-rdoc="Directional::mtsagris@uoc.gr">mtsagris@uoc.gr</a>, Giorgos Athineou &lt;gioathineou@gmail.com&gt;, Christos Adam <a href="/link/pada4m4%40gmail.com?package=Directional&version=6.8" data-mini-rdoc="Directional::pada4m4@gmail.com">pada4m4@gmail.com</a>, Anamul Sajib &lt;sajibstat@du.ac.bd&gt;, Eli Amson &lt;eli.amson1988@gmail.com&gt;, Micah J. Waldstein &lt;micah@waldste.in&gt; and Zehao Yu &lt;zehaoy@email.sc.edu&gt;.

Author

Michail Tsagris <a href="/link/mtsagris%40uoc.gr?package=Directional&version=6.8" data-mini-rdoc="Directional::mtsagris@uoc.gr">mtsagris@uoc.gr</a>.

Maintainers

This is an R package that provides methods for the statistical analysis of directional data, including massive (very large scale) directional data. — Directional-package

Michail Tsagris <a href='mailto:mtsagris@uoc.gr'>mtsagris@uoc.gr</a>, Giorgos Athineou &lt;gioathineou@gmail.com&gt;, Christos Adam <a href='mailto:pada4m4@gmail.com'>pada4m4@gmail.com</a>, Anamul Sajib &lt;sajibstat@du.ac.bd&gt;, Eli Amson &lt;eli.amson1988@gmail.com&gt;, Micah J. Waldstein &lt;micah@waldste.in&gt; and Zehao Yu &lt;zehaoy@email.sc.edu&gt;.

Michail Tsagris <a href='mailto:mtsagris@uoc.gr'>mtsagris@uoc.gr</a>.

Package:	Directional
Type:	Package
Version:	6.8
Date:	2024-09-09
License:	GPL-2

Directional-package: This is an R package that provides methods for the statistical analysis of directional data, including massive (very large scale) directional data.

Description

Arguments

Author

Maintainers

Details

References