The exponential power-G family of distributions: Properties, simulations, regression modeling and applications

Article type: Research Article

Authors: Ferreira, Alexsandro Arruda^* | Cordeiro, Gauss Moutinho

Affiliations: Department of Statistics, Federal University of Pernambuco, Recife, Pernambuco, Brazil

Correspondence: [*] Corresponding author: Alexsandro Arruda Ferreira, Department of Statistics, Federal University of Pernambuco, Recife, Pernambuco, Brazil. E-mail: alexsandro.ferreira.aaf@gmail.com.

Abstract: The new exponential power-G is introduced following Alzaatreh et al. (2013). Some of its main statistical properties are provided in terms of the exponentiated-G properties. Maximum likelihood estimation and simulations are addressed using the log-logistic for the baseline distribution. The log-exponential power log-logistic regression model is constructed and applied to censored data. The utility of the new models is proved by means of two real data sets.

Keywords: COVID-19, exponential power distribution, maximum likelihood, quantile function, regression, Transformed-Transformer

DOI: 10.3233/MAS-221400

Journal: Model Assisted Statistics and Applications, vol. 18, no. 2, pp. 99-113, 2023