The odd extended log-logistic family: Properties, regression, simulations and applications

Article type: Research Article

Authors: Cordeiro, Gauss M.^a | Prataviera, Fábio^b | Ortega, Edwin M.M.^b | Vila, Roberto^{c; *} | Nogueira, Erica V.^b

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

Correspondence: [*] Corresponding author: Roberto Vila, Departamento de Estatística, Universidade de Brasília, Brasília, DF, Brazil. E-mail: rovig161@gmail.com.

Abstract: We define the odd extended log-logistic-G family, and obtain some of its statistical properties. We construct a new extended regression based on the logarithm of the proposed distribution, which can be better than other known regressions to fit real data.

Keywords: Censored data, maximum likelihood, odd extended log-logistic-G family, odd log-logistic family, regression model

DOI: 10.3233/MAS-221364

Journal: Model Assisted Statistics and Applications, vol. 18, no. 1, pp. 57-71, 2023