1403/02/07
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
Log-gamma-generated families of distributions
نوع پژوهش
JournalPaper
کلیدواژه‌ها
gamma distribution, log-gamma distribution, order statistics, record statistics, skewness, heavy-tailed distribution.
سال
2014
مجله STATISTICS
شناسه DOI
پژوهشگران Morteza Amini ، S.M.T.K. MirMostafaee ، Jafar Ahmadi

چکیده

We introduce two new general families of continuous distributions, generated by a distribution F and two positive real parameters α and β which control the skewness and tail weight of the distribution. The construction is motivated by the distribution of k-record statistics and can be derived by applying the inverse probability integral transformation to the log-gamma distribution. The introduced families are suitable for modelling the data with a significantly skewed and heavy-tailed distribution. Various properties of the introduced families are studied and a number of estimations and data fitness on real data are given to illustrate the results.