New results and regression model for the exponentiated odd log-logistic family with applications

Article type: Research Article

Authors: Rodrigues, Gabriela M.^a | Vila, Roberto^{b; *} | Ortega, Edwin M.M.^a | Cordeiro, Gauss M.^c | Serra, Victor^b

Affiliations: [a] Departamento de Ciências Exatas, Universidade de São Paulo, Piracicaba, SP, Brazil | [b] Departamento de Estatística, Universidade de Brasília, Brasilia, DF, Brazil | [c] Departamento de Estatística, Universidade de Federal de Pernambuco, Recife, PB, Brazil

Correspondence: [*] Corresponding author: Roberto Vila, Departamento de Estatística, Universidade de Brasília, DF, Brazil. E-mail: [email protected].

Abstract: We obtain new mathematical properties of the exponentiated odd log-logistic family of distributions, and of its special case named the exponentiated odd log-logistic Weibull, and its log transformed. A new location and scale regression model is constructed, and some simulations are carried out to verify the behavior of the maximum likelihood estimators, and of the modified deviance-based residuals. The methodology is applied to the Japanese-Brazilian emigration data.

Keywords: Censored data, regression model, residual analysis, simulation studies, stochastic representation

DOI: 10.3233/MAS-231450

Journal: Model Assisted Statistics and Applications, vol. 19, no. 1, pp. 15-33, 2024