1403/02/05
سیدمحمدتقی کامل میرمصطفائی

سیدمحمدتقی کامل میرمصطفائی

مرتبه علمی: دانشیار
ارکید: https://orcid.org/0000-0003-2796-4427
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 01135302428

مشخصات پژوهش

عنوان
On the order statistics of exponentiated moment exponential distribution and associated inference
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Best linear unbiased estimation, exponentiated moment exponential (EME) distribution, order statistics, prediction, product moments, single moments
سال
2022
مجله JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
شناسه DOI
پژوهشگران Zuber Akhter ، S.M.T.K. MirMostafaee ، Ehsan Ormoz

چکیده

Explicit algebraic expressions for both single and product moments of order statistics from the exponentiated moment exponential (EME) distribution are derived. By using these expressions, we have computed the means, variances and covariances of order statistics for n = 1(1)10 and for arbitrarily chosen parameter values. Further, these moments are used to determine the best linear unbiased estimators (BLUEs) and best linear invariant estimators (BLIEs) of the location and scale parameters based on complete as well as Type-II right censored samples. Prediction of unobserved order statistics in Type-II right censored samples is also discussed. A simulation study and a real data example are presented for the sake of comparison and illustration. The concluding remarks are given at the end.