Please use this identifier to cite or link to this item: https://doi.org/10.1093/biomet/80.4.869
Title: On median-type estimators of direction for the von mises-fisher distribution
Authors: Chan, Y.M. 
He, X.
Keywords: Asymptotic distribution
Directional data
Efficiency
Gross-error sensitivity
Influence function
L1-estimator
Spatial median
Spherical median
Von Mises-Fisher distribution
Issue Date: Dec-1993
Citation: Chan, Y.M., He, X. (1993-12). On median-type estimators of direction for the von mises-fisher distribution. Biometrika 80 (4) : 869-875. ScholarBank@NUS Repository. https://doi.org/10.1093/biomet/80.4.869
Abstract: SUMMARY: We study three median-type estimators of direction: the normalized spatial median, L1-estimator on the sphere and spherical median. Their asymptotic distributions, efficiencies, influence functions and sensitivities are given at the von Mises-Fisher model. A simulation study is also carried out to compare their finite sample performance in terms of mean squared errors. We conclude that overall the normalized spatial median is the preferred estimator. © 1993 Biometrika Trust.
Source Title: Biometrika
URI: http://scholarbank.nus.edu.sg/handle/10635/103723
ISSN: 00063444
DOI: 10.1093/biomet/80.4.869
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