Affiliations: [a] Departamento de Estatística, Universidade Federal de Pernambuco, Cidade Universitária, Recife, PE, Brazil | [b] Departamento de Ciências Exatas, Universidade de São Paulo, Piracicaba, SP, Brazil
Corresponding author: Edwin M.M. Ortega, Departamento de Ciências Exatas, Universidade de São Paulo, Av. Pádua Dias, 13418-900, Piracicaba, SP, Brazil. E-mail: [email protected].
Abstract: We study some mathematical properties of a new generator of continuous distributions with one additional shape parameter named the Marshall-Olkin extended-G (MOE-G) family. We propose a new distribution called the MOE-Flexible Weibull and obtain some of its structural properties. Further, we construct a regression model based on this distribution with two systematic components that can be applied to real lifetime data. We estimate its model parameters by maximum likelihood. We present a diagnostic analysis based on global influence and deviance residuals. Two real data sets are used to illustrate the potentiality of the proposed models.
Keywords: Censored data, flexible weibull distribution, Marshall-Olkin family, maximum likelihood estimation, regression model