New exponentiated -Weibull -G family: Properties, simulations, regression and applications to COVID-19 data

In this article, a new exponentiated-Weibull-G family with two extra shape parameters is defined, which incorporates certain special classes of distributions. Some of its mathematical properties are presented. Maximum likelihood estimation and simulations are addressed. Two applications to COVID-19 data show the flexibility of the new family. A simulation experiment is developed to show the validity of the asymptotic properties of the maximum likelihood estimators. A regression model, called the log-exponentiated Weibull-Weibull, is constructed and applied to COVID-19 data, which has better performance when compared to two other regression models.