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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)
Publication Information
Journal of the Korean Statistical Society / v.33, no.3, 2004 , pp. 255-269 More about this Journal
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
Kullback-Leibler information; maximum likelihood; minimax rates of convergence; spherical harmonics;
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