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) |
|---|---|
| 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
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