• Title/Summary/Keyword: orbital planes of long-period comets

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Evaluation of the Efficiency of an Inverse Exponential Kernel Estimator for Spherical Data

  • Park, Hyun Suk
    • Communications for Statistical Applications and Methods
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    • v.20 no.1
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    • pp.77-84
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    • 2013
  • This paper deals with the relative efficiency of two kernel estimators $\hat{f}_n$ and $\hat{g}_n$ by using spherical data, as proposed by Park (2012), and Bai et al. (1988), respectively. For this, we suggest the computing flows for the relative efficiency on the 2-dimensional unit sphere. An evaluation procedure between two estimators (given the same kernels) is also illustrated through the observed data on normals to the orbital planes of long-period comets.