Abstract
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.
Original language | English (US) |
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Pages (from-to) | 23-35 |
Number of pages | 13 |
Journal | Journal of Statistical Planning and Inference |
Volume | 108 |
Issue number | 1-2 |
DOIs | |
State | Published - Nov 1 2002 |
Externally published | Yes |
Keywords
- Bootstrapping
- Consistency
- Extrinsic mean
- Intrinsic mean
- Total intrinsic variance
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Applied Mathematics