STATISTICAL INFERENCE FOR THE BURR TYPE III DISTRIBUTION UNDER TYPE II CENSORED DATA

Altindag O., Cankaya M. N., Yalcinkaya A., AYDOĞDU H.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.66, sa.2, ss.297-310, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 66 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1501/commua1_0000000820
  • 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.297-310
  • Anahtar Kelimeler: Burr III distribution, type II censoring, maximum likelihood, EM algorithm, maximum product spacing, inference, MAXIMUM-LIKELIHOOD-ESTIMATION, XII DISTRIBUTION, PARAMETER-ESTIMATION, STANDS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this study, estimation and prediction problems for the Burr type III distribution under type II censored data are considered. Maximum likelihood and maximum product spacing estimation methods are used to estimate model parameters. EM algorithm is employed to obtain maximum likelihood estimates. Unobserved future order statistics are predicted with best unbiased prediction method. A simulation study is carried out to exhibit performance of the estimation methods. Further, a numerical example is presented to illustrate the usefulness of the Burr III distribution.