A Mixture of Two Burr Type III Distributions: Identifiability and Estimation under Type II Censoring
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-05
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The mixture of two Burr Type III distributions (MTBIIID) is investigated.
First, the identifiability property of the MTBIIID is proved.
Then, two different methods of estimation are used.
Next, the estimates of the unknown five parameters and reliability function of the MTBIIID under Type II censoring are obtained.
To study the performance of the estimation technique in the paper, a Monte Carlo simulation is presented.
In addition, the numerical illustration requires solving nonlinear equations; therefore, the software international mathematical statistical library (IMSL) is used to assess these effects numerically.
Finally, a real data set is applied to illustrate the methods proposed here.
American Psychological Association (APA)
Al-Moisheer, A. S.. 2016. A Mixture of Two Burr Type III Distributions: Identifiability and Estimation under Type II Censoring. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1112519
Modern Language Association (MLA)
Al-Moisheer, A. S.. A Mixture of Two Burr Type III Distributions: Identifiability and Estimation under Type II Censoring. Mathematical Problems in Engineering No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1112519
American Medical Association (AMA)
Al-Moisheer, A. S.. A Mixture of Two Burr Type III Distributions: Identifiability and Estimation under Type II Censoring. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1112519
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112519