Nonparametic estimation of location and dispersion on Riemannian manifolds

Rabi Bhattacharya, Vic Patrangenaru

Research output: Contribution to journalArticle

47 Scopus citations

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 languageEnglish (US)
Pages (from-to)23-35
Number of pages13
JournalJournal of Statistical Planning and Inference
Volume108
Issue number1-2
DOIs
StatePublished - Nov 1 2002

Keywords

  • Bootstrapping
  • Consistency
  • Extrinsic mean
  • Intrinsic mean
  • Total intrinsic variance

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Nonparametic estimation of location and dispersion on Riemannian manifolds'. Together they form a unique fingerprint.

  • Cite this