Harmonic analysis and distribution-free inference for spherical distributions

  title={Harmonic analysis and distribution-free inference for spherical distributions},
  author={Sreenivasa Rao Jammalamadaka and Gy{\"o}rgy H. Terdik},
  journal={J. Multivar. Anal.},
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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