2024 : 7 : 19
S.M.T.K. MirMostafaee

S.M.T.K. MirMostafaee

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0003-2796-4427
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address: Department of Statistics‎, ‎Faculty of Mathematical Sciences‎, ‎University of Mazandaran‎, P.O‎. ‎Box 47416-1467‎, ‎Babolsar, ‎Iran‎
Phone: 01135302428

Research

Title
A new useful four-parameter extension of the Gumbel distribution: Properties, regression model and applications using the GAMLSS framework
Type
JournalPaper
Keywords
GAMLSS; Gumbel distribution; Maximum likelihood estimation; Regression model; Residual analysis
Year
2019
Journal COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
DOI
Researchers Morad Alizadeh ، Thiago Ramires ، S.M.T.K. MirMostafaee ، Maryam Samizadeh ، Edwin Ortega

Abstract

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.