Some new distributions and new distributions families: Theory and applications
COVID-19. Regression model. Dagum distribution. Beta Prime. Beta-G family.
Kumaraswamy-G family. Simulation.
Several classes of distributions have been introduced over the past two decades to extend well-known distributions and provide greater flexibility in modeling real data. In this work, three new families of distributions will be presented: Dual Dagum-G, Exponentiated-Weibull-G and Weibull Flexible-G; and two new distributions of probability: Weibull Beta Prime and Weibull
extended Weibull. Some properties of the new distributions are presented and the maximum likelihood method was used to estimate the parameters of the proposed distributions. New regression models are also proposed based on new families and distributions.