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

Title & Authors
Evaluation of the Efficiency of an Inverse Exponential Kernel Estimator for Spherical Data
Park, Hyun Suk;

Abstract
This paper deals with the relative efficiency of two kernel estimators $\small{\hat{f}_n}$ and $\small{\hat{g}_n}$ 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.
Keywords
Exponential kernel estimator;relative efficiency;orbital planes of long-period comets;
Language
English
Cited by
References
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