E-Bayesian Prediction for the Burr XII Model Based on Type-II Censored Data with Two Samples
Joint Authors
Okasha, Hassan M.
Wang, Chuanmei
Wang, Jianhua
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Type-II censored data is an important scheme of data in lifetime studies.
The purpose of this paper is to obtain E-Bayesian predictive functions which are based on observed order statistics with two samples from two parameter Burr XII model.
Predictive functions are developed to derive both point prediction and interval prediction based on type-II censored data, where the median Bayesian estimation is a novel formulation to get Bayesian sample prediction, as the integral for calculating the Bayesian prediction directly does not exist.
All kinds of predictions are obtained with symmetric and asymmetric loss functions.
Two sample techniques are considered, and gamma conjugate prior density is assumed.
Illustrative examples are provided for all the scenarios considered in this article.
Both illustrative examples with real data and the Monte Carlo simulation are carried out to show the new method is acceptable.
The results show that Bayesian and E-Bayesian predictions with the two kinds of loss functions have little difference for the point prediction, and E-Bayesian confidence interval (CI) with the two kinds of loss functions are almost similar and they are more accurate for the interval prediction.
American Psychological Association (APA)
Okasha, Hassan M.& Wang, Chuanmei& Wang, Jianhua. 2020. E-Bayesian Prediction for the Burr XII Model Based on Type-II Censored Data with Two Samples. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1127363
Modern Language Association (MLA)
Okasha, Hassan M.…[et al.]. E-Bayesian Prediction for the Burr XII Model Based on Type-II Censored Data with Two Samples. Advances in Mathematical Physics No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1127363
American Medical Association (AMA)
Okasha, Hassan M.& Wang, Chuanmei& Wang, Jianhua. E-Bayesian Prediction for the Burr XII Model Based on Type-II Censored Data with Two Samples. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1127363
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127363