ESTIMATION OF THE LOCATION AND THE SCALE PARAMETERS OF BURR TYPE XII DISTRIBUTION

Akgul F. G., Acitas S., ŞENOĞLU B.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.68, sa.1, ss.1030-1044, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.31801/cfsuasmas.501455
  • Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1030-1044
  • Anahtar Kelimeler: Burr XII distribution, maximum likelihood, modified maximum likelihood, least squares, method of moments, efficiency, ROBUST ESTIMATION, REGRESSION-MODEL, CONTROL CHARTS, WEIBULL, ALGORITHM, SYSTEM
  • Ankara Üniversitesi Adresli: Evet

Özet

The aim of this paper is to estimate the location and the scale parameters of Burr Type XII distribution. For this purpose, different estimation methods, namely, maximum likelihood (ML), modified maximum likelihood (MML), least squares (LS) and method of moments (MM) are used. The performances of these estimation methods are compared via Monte-Carlo simulation study under different sample sizes and parameter settings. At the end of the study, the wind speed data set and the annual flow data sets are analyzed for illustration of the modeling performance of Burr Type XII distribution.