Robust Estimation for Parameters of the Extended Burr Type III Distribution

MERT KANTAR Y., Yildirim V.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, cilt.44, sa.7, ss.1901-1930, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 7
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1080/03610918.2013.839032
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1901-1930
  • Anahtar Kelimeler: Outliers, Quantile estimator, Robust regression estimator, The extended Burr Type III distribution, WEIBULL DISTRIBUTION, REGRESSION, LOCATION, PARETO, MODEL
  • Anadolu Üniversitesi Adresli: Evet

Özet

We consider various robust estimators for the extended Burr Type III (EBIII) distribution for complete data with outliers. The considered robust estimators are M-estimators, least absolute deviations, Theil, Siegel's repeated median, least trimmed squares, and least median of squares. Before we perform the aforementioned estimators for the EBIII, we adapt the quantiles method to the estimation of the shape parameter k of the EBIII. The simulation results show that the considered robust estimators generally outperform the existing estimation approaches for data with upper outliers, with certain of them retaining a relatively high degree of efficiency for small sample sizes.