08 خرداد 1402
سيدمحمدتقي كامل ميرمصطفائي

سیدمحمدتقی کامل میرمصطفائی

مرتبه علمی: دانشیار
نشانی: دانشگاه مازندران-دانشکده علوم ریاضی- گروه آمار
تحصیلات: دکترای تخصصی / آمار
تلفن: 01135302428
دانشکده: دانشکده علوم ریاضی

مشخصات پژوهش

عنوان
Estimation for the Poisson-Exponential Distribution Based on Progressively Type-II Censored Data with Uniform and Binomial Removals
نوع پژوهش مقاله ارائه شده
کلیدواژه‌ها
Importance Sampling, Information Matrix, Maximum Likelihood Estimation, Removal Pattern.
پژوهشگران فیروزه باستان (نفر اول) ، سیدمحمدتقی کامل میرمصطفائی (نفر دوم)

چکیده

This paper includes a discussion regarding the estimation of the unknown parameters of the Poisson-exponential distribution based on progressively type II censored data with random removals. We assume that the removals are binomially distributed random variables once and they are discrete uniformly distributed random variables the other time. The problem of maximum likelihood and Bayesian estimation of the parameters is discussed. As it seems that the integrals related to the Bayes point estimates do not have closed forms, the importance sampling technique is employed to approximate them. A simulation study is presented to compare the numerical results of the censoring schemes with different removal patterns.