1403/01/30
اکبر اصغر زاده

اکبر اصغر زاده

مرتبه علمی: استاد
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 011-54302476

مشخصات پژوهش

عنوان
Parameter Estimation for a Burr XII Distribution under Progressive Censoring
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Bayes estimators; bootstrapping; EM algorithm; Fisher information matrix; importance sampling; loss function; Tierney and Kadane method
سال
2017
مجله AMERICAN JOURNAL OF MATHEMATICAL AND MANAGEMENT SCIENCES
شناسه DOI
پژوهشگران Akbar Asgharzadeh ، R. K. Maurya ، M.K. Rastogi ، Yogesh Tripathi

چکیده

This article deals with the problem of estimating unknown parameters of a Burr Type XII distribution with the data that are progressive Type- II censored. The maximum likelihood estimators are derived using an EM algorithm. Approximate confidence intervals based on the observed Fisher information matrix and bootstrap intervals of the unknown parameters are obtained. Bayes estimators are derived under different loss functions by making use of the Tierney and Kadane method and importance sampling procedure. Samples obtained from the importance sampling procedure are further used to construct the highest posterior density intervals of unknown parameters. A simulation study is conducted to study the performance of proposed estimators. Finally, a real life data and a simulated data are analyzed for illustration.