nsmedian

Normalised spatial median for directional data.

Normalised spatial median for 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

Normalised spatial median for directional data function

<dl><dt>x</dt>
<dd>A matrix with Euclidean data, continuous variables.</dd><dt>tol</dt>
<dd>A tolerance level to terminate the process.</dd></dl>

Arguments

Michail Tsagris.
R implementation and documentation: Michail Tsagris &lt;mtsagris@uoc.gr&gt;.

Author

Normalised spatial median for directional data — Normalised spatial median for directional data

<dl>

<dt>x</dt>
<dd>A matrix with Euclidean data, continuous variables.</dd>

<dt>tol</dt>
<dd>A tolerance level to terminate the process.</dd>

</dl>

Normalised spatial median for directional data: Normalised spatial median for directional data

Description

Usage

Value

Arguments

Author

Details

References

See Also

Examples