The spatial sign covariance matrix with unknown location

Alexander Dürre, Daniel Vogel, David E. Tyler

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

The consistency and asymptotic normality of the spatial sign covariance matrix with unknown location are shown. Simulations illustrate the different asymptotic behaviors when using the mean and the spatial median as a location estimator.

Original languageEnglish (US)
Pages (from-to)107-117
Number of pages11
JournalJournal of Multivariate Analysis
Volume130
DOIs
StatePublished - Sep 2014

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Numerical Analysis
  • Statistics, Probability and Uncertainty

Keywords

  • Elliptical distribution
  • Marcinkiewicz SLLN
  • Spatial median
  • Spatial sign

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