# Harmonic analysis and distribution-free inference for spherical distributions

@article{Jammalamadaka2019HarmonicAA, title={Harmonic analysis and distribution-free inference for spherical distributions}, author={Sreenivasa Rao Jammalamadaka and Gy{\"o}rgy H. Terdik}, journal={J. Multivar. Anal.}, year={2019}, volume={171}, pages={436-451} }

Abstract Fourier analysis, and representation of circular distributions in terms of their Fourier coefficients, is quite commonly discussed and used for model-free inference such as testing uniformity and symmetry, in dealing with 2-dimensional directions. However, a similar discussion for spherical distributions, which are used to model 3-dimensional directional data, is not readily available in the literature in terms of their harmonics. This paper, in what we believe is the first such… Expand

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