Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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DIRECTIONAL LOG-DENSITY ESTIMATION

  • Huh, Jib (Department of Statistics, Duksung Woman′s University) ;
  • Kim, Peter T. (Department of Mathematics and Statistics, University of Guelph) ;
  • Koo, Ja-Yong (Department of Statistics, Korea University) ;
  • Park, Jin-Ho (Department of Statistics, Inha University)
  • Published : 2004.09.01
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Abstract

This paper develops log-density estimation for directional data. The methodology is to use expansions with respect to spherical harmonics followed by estimating the unknown parameters by maximum likelihood. Minimax rates of convergence in terms of the Kullback-Leibler information divergence are obtained.

Keywords

References

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