Bayesian prediction intervals of order statistics based on progressively type-II censored competing risks data from the half-logistic distribution
AL-Hussaini, E., Abdel-Hamid, A., Hashem, A. (2015). Bayesian prediction intervals of order statistics based on progressively type-II censored competing risks data from the half-logistic distribution. EKB Journal Management System, 23(1), 190-196. doi: 10.1016/j.joems.2014.01.008
Essam K. AL-Hussaini; Alaa H. Abdel-Hamid; Atef F. Hashem. "Bayesian prediction intervals of order statistics based on progressively type-II censored competing risks data from the half-logistic distribution". EKB Journal Management System, 23, 1, 2015, 190-196. doi: 10.1016/j.joems.2014.01.008
AL-Hussaini, E., Abdel-Hamid, A., Hashem, A. (2015). 'Bayesian prediction intervals of order statistics based on progressively type-II censored competing risks data from the half-logistic distribution', EKB Journal Management System, 23(1), pp. 190-196. doi: 10.1016/j.joems.2014.01.008
AL-Hussaini, E., Abdel-Hamid, A., Hashem, A. Bayesian prediction intervals of order statistics based on progressively type-II censored competing risks data from the half-logistic distribution. EKB Journal Management System, 2015; 23(1): 190-196. doi: 10.1016/j.joems.2014.01.008

Bayesian prediction intervals of order statistics based on progressively type-II censored competing risks data from the half-logistic distribution

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Page 190-196  XML PDF (483.37 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.01.008
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Authors
Essam K. AL-Hussaini1; Alaa H. Abdel-Hamid* 2; Atef F. Hashem2
1Department of Mathematics, Faculty of Science, Alexandria University, Egypt
2Department of Mathematics, Faculty of Science, Beni-Suef University, Egypt
Abstract
The competing risks model may be of great importance for an investigator in medical
studies or in reliability analysis. In this article, Bayesian prediction bounds of order statistics based
on progressively type-II censored competing risks data from a general class of distributions are
obtained. The class of distributions includes, among others, Weibull, compound Weibull, Pareto,
Gompertz, compound Gompertz and half-logistic distributions. The results are then applied to
the half-logistic distribution. Based on three different progressive type-II censoring schemes, prediction intervals of the future order statistics are obtained. An illustrative example is presented to show
the procedure. A Monte Carlo simulation study is performed and numerical computations are carried out to obtain the coverage probabilities and average interval lengths of the prediction intervals. 
Keywords
Bayesian prediction; Competing risks model; Progressive type-II censoring; Half-logistic distribution; One-sample prediction; Simulation
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