Probability density function of the von Mises-Fisher distribution.

 von Mises-Fisher distribution 

 Probability density function 

Probability density function 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>. 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>.

Michail Tsagris

Directional

A Collection of Functions for Directional Data Analysis

Probability density function of the von Mises-Fisher distribution function

<dl><dt>u</dt>
<dd>A numerical value, either in radians or in degrees.</dd><dt>m</dt>
<dd>The mean direction in radians or in degrees.</dd><dt>k</dt>
<dd>The concentration parameter, \(\kappa\).</dd><dt>rads</dt>
<dd>If the data are in radians, this should be TRUE and FALSE otherwise.</dd></dl>

Arguments

Michail Tsagris.
R implementation and documentation: Michail Tsagris <a href="/link/mtsagris%40uoc.gr?package=Directional&version=6.4" data-mini-rdoc="Directional::mtsagris@uoc.gr">mtsagris@uoc.gr</a>.

Author

Probability density function of the von Mises-Fisher distribution — Probability density function of the von Mises-Fisher distribution

<dl>

<dt>u</dt>
<dd>A numerical value, either in radians or in degrees.</dd>

<dt>m</dt>
<dd>The mean direction in radians or in degrees.</dd>

<dt>k</dt>
<dd>The concentration parameter, \(\kappa\).</dd>

<dt>rads</dt>
<dd>If the data are in radians, this should be TRUE and FALSE otherwise.</dd>

</dl>

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

Probability density function of the von Mises-Fisher distribution: Probability density function of the von Mises-Fisher distribution

Description

Usage

Value

Arguments

Author

Details

References

See Also

Examples