Detection of Multivariate Outliers with Dispersion Slippage in Elliptically Symmetric Distributions.

Abstract

An extension of Ferguson's univariate normal results for detection of outliers with variance slippage is made to the multivariate elliptically symmetric case with dispersion slippage. The locally optimum test statistic derived possesses all three robustness properties: optimality, null and nonnull. As a technical tool, Wijsman's representation theorem is used. Additional keywords: Locally best invariant, Maximal invariant, and Variance slippage. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1985
Accession Number
ADA153785

Entities

People

  • B. K. Sinha
  • Rabindra Das

Organizations

  • University of Pittsburgh

Tags

DTIC Thesaurus Topics

  • Detection

Fields of Study

  • Mathematics

Readers

  • Statistical inference.