1402/12/06
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
A new useful four-parameter extension of the Gumbel distribution: Properties, regression model and applications using the GAMLSS framework
نوع پژوهش
JournalPaper
کلیدواژه‌ها
GAMLSS; Gumbel distribution; Maximum likelihood estimation; Regression model; Residual analysis
سال
2019
مجله COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
شناسه DOI
پژوهشگران Edwin Ortega ، Maryam Samizadeh ، S.M.T.K. MirMostafaee ، Morad Alizadeh ، Thiago Ramires

چکیده

In this paper we introduce a flexible extension of the Gumbel distribution called the odd log-logistic exponentiated Gumbel distribution. The new model was implemented in GAMLSS package of R software and a brief tutorial on how to use this package is presented throughout the paper. We provide a comprehensive treatment of its general mathematical properties. Further, we propose a new extended regression model considering four regression structures. We discuss estimation methods based on censored and uncensored data. Two simulation studies are presented and four real data sets are applied to illustrating the usefulness of the new model.