The Marshall-Olkin-Weibull-H family: Estimation, simulations, and applications to COVID-19 data

We define a new extended Weibull-H family and obtain some of its mathematical properties. It is very competitive to the beta-G and Kumaraswamy-G classes, which are highly cited in Google Scholar. The parameters of a specified sub-model are estimated by eight methods and its flexibility is proved in two applications to COVID-19 data. (c) 2022 The Author(s). Published by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Automated summary

A new extended Weibull-H family is defined and its mathematical properties are examined. The study demonstrates that this family is highly competitive compared to the beta-G and Kumaraswamy-G classes, which are widely cited in Google Scholar. The flexibility of a specified sub-model is confirmed through two applications using COVID-19 data.