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

نوع المستند : تجاریة کل ما یتعلق بالعلوم التجاریة

المؤلفون

1 قسم الاحصاء والرياضة والتأمين، کلية التجارة، جامعة الزقازيق، مصر

2 قسم الإحصاء والرياضة والتأمين، کلية التجارة، جامعة الزقازيق، مصر

المستخلص

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.

الكلمات الرئيسية

الموضوعات الرئيسية

ملفات

شارك

إرسال الاستشهاد إلى

الإحصائيات