ON MEDIAN-TYPE ESTIMATORS OF DIRECTION FOR THE VON MISES-FISHER DISTRIBUTION

被引：9

作者：

CHAN, YM ^{[1
]}

HE, XM ^{[1
]}

机构：

[1] UNIV ILLINOIS,DEPT STAT,CHAMPAIGN,IL 61820

来源：

BIOMETRIKA | 1993年 / 80卷 / 04期

关键词：

ASYMPTOTIC DISTRIBUTION; DIRECTIONAL DATA; EFFICIENCY; GROSS-ERROR SENSITIVITY; INFLUENCE FUNCTION; L(1)-ESTIMATOR; SPATIAL MEDIAN; SPHERICAL MEDIAN; VON MISES-FISHER DISTRIBUTION;

D O I：

10.2307/2336878

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study three median-type estimators of direction: the normalized spatial median, L(1)-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.

引用

页码：869 / 875

页数：7

共 11 条

[1] SPATIAL MEDIAN AND DIRECTIONAL-DATA [J].