vmf.contour

Contour plots of the von Mises-Fisher distribution on the sphere.

 contour plot 

 von Mises-Fisher distribution 

Contour plots of the von Mises-Fisher distribution

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. (2022). An investigation of hypothesis testing procedures for circular and spherical mean vectors. Communications in Statistics-Simulation and Computation (Accepted for publication). <doi:10.1080/03610918.2022.2045499>.

Michail Tsagris

Directional

A Collection of Functions for Directional Data Analysis

Contour plots of the von Mises-Fisher distribution function

<dl><dt>k</dt>
<dd>The concentration parameter.</dd></dl>

Arguments

Michail Tsagris and Christos Adam.
R implementation and documentation: Michail Tsagris <a href="/link/mtsagris%40uoc.gr?package=Directional&version=5.7" data-mini-rdoc="Directional::mtsagris@uoc.gr">mtsagris@uoc.gr</a> and Christos Adam <a href="/link/pada4m4%40gmail.com?package=Directional&version=5.7" data-mini-rdoc="Directional::pada4m4@gmail.com">pada4m4@gmail.com</a>.

Author

Contour plots of the von Mises-Fisher distribution on the sphere — Contour plots of the von Mises-Fisher distribution

<dl>

<dt>k</dt>
<dd>The concentration parameter.</dd>

</dl>

Michail Tsagris and Christos Adam.
R implementation and documentation: Michail Tsagris <a href='mailto:mtsagris@uoc.gr'>mtsagris@uoc.gr</a> and Christos Adam <a href='mailto:pada4m4@gmail.com'>pada4m4@gmail.com</a>.

Contour plots of the von Mises-Fisher distribution: Contour plots of the von Mises-Fisher distribution on the sphere

Description

Usage

Value

Arguments

Author

Details

See Also

Examples