bic.mixvmf

BIC to choose the number of components in a model based clustering using mixtures of von Mises-Fisher distributions

 Mixtures of von Mises-Fisher distributions 

 BIC of the mixture models 

BIC for the model based clustering using mixtures of von Mises-Fisher distributions

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

BIC for the model based clustering using mixtures of von Mises-Fisher distributions function

<dl><dt>x</dt>
<dd>A matrix containing directional data.</dd><dt>G</dt>
<dd>The maximum number of clusters to be tested. Default value is 5.</dd><dt>n.start</dt>
<dd>The number of random starts to try. See also R's built-in function <code><a href="/link/kmeans?package=Directional&version=6.8" data-mini-rdoc="Directional::kmeans">kmeans</a></code> for more information about this.</dd></dl>

Arguments

Michail Tsagris.
R implementation and documentation: Michail Tsagris <a href="/link/mtsagris%40uoc.gr?package=Directional&version=6.8" data-mini-rdoc="Directional::mtsagris@uoc.gr">mtsagris@uoc.gr</a> and Giorgos Athineou &lt;gioathineou@gmail.com&gt;.

Author

BIC to choose the number of components in a model based clustering using mixtures of von Mises-Fisher distributions — BIC for the model based clustering using mixtures of von Mises-Fisher distributions

<dl>

<dt>x</dt>
<dd>A matrix containing directional data.</dd>

<dt>G</dt>
<dd>The maximum number of clusters to be tested. Default value is 5.</dd>

<dt>n.start</dt>
<dd>The number of random starts to try. See also R's built-in function <code><a href='https://rdrr.io/r/stats/kmeans.html'>kmeans</a></code> for more information about this.</dd>

</dl>

Michail Tsagris.
R implementation and documentation: Michail Tsagris <a href='mailto:mtsagris@uoc.gr'>mtsagris@uoc.gr</a> and Giorgos Athineou &lt;gioathineou@gmail.com&gt;.

BIC for the model based clustering using mixtures of von Mises-Fisher distributions: BIC to choose the number of components in a model based clustering using mixtures of von Mises-Fisher distributions

Description

Usage

Value

Arguments

Author

Details

References

See Also

Examples