Nonparametic estimation of location and dispersion on Riemannian manifolds

被引：51

作者：

Bhattacharya, R

Patrangenaru, V

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

[2] Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2002年 / 108卷 / 1-2期

关键词：

intrinsic mean; extrinsic mean; total intrinsic variance; consistency; bootstrapping;

D O I：

10.1016/S0378-3758(02)00268-9

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A central limit theorem for intrinsic means on a complete flat manifold and some asymptotic properties of the intrinsic total sample variance on an arbitrary complete manifold are given. A studentized pivotal statistic and its bootstrap analogue which yield confidence regions for the intrinsic mean on a complete flat manifold are also derived. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：23 / 35

页数：13

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