On likelihood distance for outliers detection.

Journal Article (Journal Article)

The likelihood distance has been widely used to detect outlying observations in data analysis. Cook and Weisberg (5) suggested that the likelihood distance may be compared to a chi 2 distribution for large samples. In this paper, we show that use of the chi 2 distribution is inappropriate. The results indicate that the likelihood distance does not follow an asymptotically chi 2 distribution. Instead, it converges to 0 in probability as the sample size increases. We show that for a nondegenerate limiting distribution, a multiplication factor related to the sample size n is needed. In general, the limiting distribution of this modified statistic is model-dependent.

Full Text

Duke Authors

Cited Authors

  • Wang, W; Chow, SC; Wei, WW

Published Date

  • November 1995

Published In

Volume / Issue

  • 5 / 3

Start / End Page

  • 307 - 322

PubMed ID

  • 8580931

International Standard Serial Number (ISSN)

  • 1054-3406

Digital Object Identifier (DOI)

  • 10.1080/10543409508835116


  • eng

Conference Location

  • England