Asymptotic behavior of sample mean location for manifolds

Harrie Hendriks, Zinoviy Landsman

Research output: Contribution to journalArticlepeer-review


We investigate some asymptotic properties of empirical mean location on compact smooth submanifolds of Euclidean space. Thus our results provide the framework for asymptotic least-squares statistics inference regarding mean location in a rather general situation.

Original languageEnglish
Pages (from-to)169-178
Number of pages10
JournalStatistics and Probability Letters
Issue number2
StatePublished - 1 Feb 1996


  • Asymptotic behavior
  • Chi-squared distribution
  • Cut-locus
  • Degenerate normal distribution
  • Mean location
  • Sample mean location
  • Submanifolds
  • Weingarten mapping

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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