1403/03/31
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
Record values from NH distribution and associated inference
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Best linear unbiased estimator, Best linear unbiased predictor, Incomplete gamma function, NH distribution, Record values, Recurrence relations
سال
2016
مجله Metron
شناسه DOI
پژوهشگران S.M.T.K. MirMostafaee ، Akbar Asgharzadeh ، Adeleh Fallah

چکیده

A new extension of exponential distribution, called NH distribution, was recently introduced by Nadarajah and Haghighi (Statistics 45:543–558, 2011). In this paper, we consider the upper record values from this distribution. We obtain exact explicit expressions as well as several recurrence relations for the single and product moments of record values and then we use these results to compute the means, variances and the covariances of the upper record values. We make use of these calculated moments to find the best linear unbiased estimators (BLUEs) of the location and scale parameters of NH distribution. In addition, based on the observed records, we investigate how to obtain best linear unbiased predictor for the future record values. Confidence intervals for the unknown parameters and prediction intervals for future records are also discussed. Finally, we present an example in order to illustrate the inferential results obtained in this paper and compare the BLUEs with maximum likelihood estimators numerically.