Statistical inference for the burr type III distribution under type II censored data

Year 2017, Volume: 66 Issue: 2, 297 - 310, 01.08.2017

Ö. Altındağ N. Çankaya M. A. Yalçınkaya H. Aydoğdu

https://doi.org/10.1501/Commua1_0000000820

Cited By: 5

Abstract

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

Keywords

Burr III distribution, type II censoring, maximum likelihood, EMalgorithm, maximum product spacing, inference

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• Current address : Ömer Altında¼g: Bilecik ¸Seyh Edebali University, Faculty of Arts and Science, Department of Statistics, Bilecik, Turkey.
• E-mail address : [e-mail], [e-mail]
• Current address : Mehmet Niyazi Çankaya: U¸sak University, Faculty of Arts and Science, Department of Statistics, U¸sak, Turkey.
• E-mail address : [e-mail], [e-mail]
• Current address : Abdullah Yalçınkaya: Ankara University, Faculty of Science, Department of Statistics, Ankara, Turkey.
• E-mail address : [e-mail]
• Current address : Halil Aydo¼gdu: Ankara University, Faculty of Science, Department of Sta- tistics, Ankara, Turkey.
• E-mail address : [e-mail]