# rotasym v1.0-5

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## Tests for Rotational Symmetry on the Hypersphere

Implementation of the tests for rotational symmetry on the hypersphere proposed in Garc<c3><ad>a-Portugu<c3><a9>s, Paindaveine and Verdebout (2019) <arXiv:1706.05030>. The package also implements the proposed distributions on the hypersphere, based on the tangent-normal decomposition, and allows for the replication of the data application considered in the paper.

## Functions in rotasym

 Name Description tangent-vMF Tangent von Mises--Fisher distribution ACG Angular central Gaussian distribution check_unit_norm Checking of unit-norm data tang-norm-decomp Distributions based on the tangent-normal decomposition unif Uniform distribution on the hypersphere tangent-elliptical Tangent elliptical distribution vMF von Mises--Fisher distribution cosines-signs Cosines and multivariate signs of a hyperspherical sample about a given location estimators Estimators for the axis of rotational symmetry $\boldsymbol\theta$ rotasym-package rotasym -- Tests for Rotational Symmetry on the Hypersphere sunspots_births Recorded sunspots births during 1872--2018 test_rotasym Tests of rotational symmetry for hyperspherical data No Results!