Lifetime distributions under progressive Type-II censored scheme have been attracting great interest due to their wide application in the fields of science, engineering, social sciences and medicine. Also, prediction of future events on the basis of the past and present knowledge without any doubt is one of the most important problems in statistics. In this paper, the Bayes estimators for the parameters of the Marshall-Olkin Weibull-exponential distribution are derived based on progressive Type-II censored scheme. The estimators are considered under two different loss functions, the balanced squared error loss function; as a symmetric loss function and the balanced linear exponential loss function; as an asymmetric loss function. Also, the two-sample prediction method is applied to obtain the Bayesian prediction (point and interval) for future order statistics. A numerical example is provided to illustrate the theoretical results and an application using real data set is used to demonstrate how the results can be used in practice.
Al-Sayed, Neama Taher, & Behairy, Sarah Mohammad. (2023). Bayesian Estimation and Prediction for Marshall-Olkin Weibull-Exponential Distribution Based on Progressive Type-II Censoring Scheme. التجارة والتمويل, 43(2), 141-178. doi: 10.21608/caf.2023.305383
MLA
Neama Taher Al-Sayed; Sarah Mohammad Behairy. "Bayesian Estimation and Prediction for Marshall-Olkin Weibull-Exponential Distribution Based on Progressive Type-II Censoring Scheme". التجارة والتمويل, 43, 2, 2023, 141-178. doi: 10.21608/caf.2023.305383
HARVARD
Al-Sayed, Neama Taher, Behairy, Sarah Mohammad. (2023). 'Bayesian Estimation and Prediction for Marshall-Olkin Weibull-Exponential Distribution Based on Progressive Type-II Censoring Scheme', التجارة والتمويل, 43(2), pp. 141-178. doi: 10.21608/caf.2023.305383
VANCOUVER
Al-Sayed, Neama Taher, Behairy, Sarah Mohammad. Bayesian Estimation and Prediction for Marshall-Olkin Weibull-Exponential Distribution Based on Progressive Type-II Censoring Scheme. التجارة والتمويل, 2023; 43(2): 141-178. doi: 10.21608/caf.2023.305383