kent.contour

The contour plot of the Kent distribution on the sphere is produced. The user can see how the shape and ovalness change as he/she changes the ovlaness parameter.

 contour plot 

 Kent distribution 

Contour plot of the Kent distribution without any 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. (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 plot of the Kent distribution without any data function

<dl><dt>k</dt>
<dd>The concentration parameter.</dd><dt>b</dt>
<dd>The ovalness parameter. It has to be less than k/2 in order for the distribution to be unimodal. Otherwise it is bimodal.</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 plot of the Kent distribution without any data — Contour plot of the Kent distribution without any data

<dl>

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

<dt>b</dt>
<dd>The ovalness parameter. It has to be less than k/2 in order for the distribution to be unimodal. Otherwise it is bimodal.</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 plot of the Kent distribution without any data: Contour plot of the Kent distribution without any data

Description

Usage

Value

Arguments

Author

Details

References

See Also

Examples