Statistical Inference forTwo Burr Type XII Populations Based on Joint ProgressiveType II Censored Scheme
S. Dahshan, A., سالم, ., Abo-Kasem, O. (2023). Statistical Inference forTwo Burr Type XII Populations Based on Joint ProgressiveType II Censored Scheme. EKB Journal Management System, 45(2), 142-170. doi: 10.21608/zcom.2021.99336.1086
Aya S. Dahshan; سامية ابو الفتوح سالم; Osama Eraky Abo-Kasem. "Statistical Inference forTwo Burr Type XII Populations Based on Joint ProgressiveType II Censored Scheme". EKB Journal Management System, 45, 2, 2023, 142-170. doi: 10.21608/zcom.2021.99336.1086
S. Dahshan, A., سالم, ., Abo-Kasem, O. (2023). 'Statistical Inference forTwo Burr Type XII Populations Based on Joint ProgressiveType II Censored Scheme', EKB Journal Management System, 45(2), pp. 142-170. doi: 10.21608/zcom.2021.99336.1086
S. Dahshan, A., سالم, ., Abo-Kasem, O. Statistical Inference forTwo Burr Type XII Populations Based on Joint ProgressiveType II Censored Scheme. EKB Journal Management System, 2023; 45(2): 142-170. doi: 10.21608/zcom.2021.99336.1086

Statistical Inference forTwo Burr Type XII Populations Based on Joint ProgressiveType II Censored Scheme

مجلة البحوث التجارية
Article 23, Volume 45, Issue 2, April 2023, Page 142-170  XML PDF (797.88 K)
Document Type: تجاریة کل ما یتعلق بالعلوم التجاریة
DOI: 10.21608/zcom.2021.99336.1086
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Authors
Aya S. Dahshan email 1; سامية ابو الفتوح سالم2; Osama Eraky Abo-Kasem2
1قسم الاحصاء والرياضة والتأمين، کلية التجارة، جامعة الزقازيق، مصر
2قسم الإحصاء والرياضة والتأمين، کلية التجارة، جامعة الزقازيق، مصر
Abstract
Recently the joint progressive type II censoring scheme is useful for planning comparative purposes of two identical products manufactured coming from different lines. In this paper, we consider the life time Burr type XII distribution with jointly progressive type-II censoring scheme. The maximum likelihood estimators of the parameters and Bayes estimators have been developed using Markov chain Monte Carlo by utilizing Metropolis-Hasting algorithm under squared error and linear-exponential loss functions. In Bayesian approach the Markov chain Monte Carlo method is adopted to compute estimates. Moreover, we obtain both approximate and Highest posterior density credible intervals. Monte Carlo results from simulation studies have been presented to assess the performance of our proposed methods. Finally a real data set has been analyzed for illustrative purposes.The rest of this paper is organized as follows. In Section 2, the MLEs and asymptotic confidence intervals are obtained. In Section 3, the Bayes estimators under SE and LINEX loss functions and HPD intervals for the parameters using JPC-II scheme are derived. In Section 4, the theoretical results of point and interval estimation compared through illustrative example and simulation studies are given. In Section 5, a real data analysis is presented. Finally conclusion is given in Section 6.
Keywords
Burr type XII distribution; Joint progressive type-II censoring; Maximum likelihood estimation; Confidence intervals; Bayesian estimation
Statistics
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