New Results on the Small-Sample Properties of Some Robust Univariate Estimators of Location

ÖZDEMİR A. F., Wilcox R.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, vol.41, no.9, pp.1544-1556, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 9
  • Publication Date: 2012
  • Doi Number: 10.1080/03610918.2011.611310
  • Journal Name: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1544-1556
  • Keywords: Efficiency, M-estimator, Modified one-step, One-step M-estimator, Real data, rfch estimator, Tau estimator, tbs estimator, Trimmed mean, MULTIVARIATE LOCATION
  • Dokuz Eylül University Affiliated: Yes

Abstract

This article compares eight estimators in terms of relative efficiencies with the univariate mean, some of which have not been compared previously. Four estimators, when testing hypotheses, are compared in terms of actual Type I errors. In terms of point estimation, the modified one-step M-estimator, one-step M-estimator, and rfch estimator are found to be the three best choices depending on the proportion of outliers. In terms of actual Type I errors, the modified one-step M estimator's and rfch estimator's level was between .045 and .055 in 5 out of 7 situations when real data were used in simulations.