Families of Extended Exponentiated Generalized Distributions and Applications of Medical Data Using Burr III Extended Exponentiated Weibull Distribution

In this article, four new families named as Weibull extended exponentiated-X (WEE-X), Lomax (LEE-X), Logistic (LGCEE-X), and Burr III (BIIIEE-X) with their quantile functions are proposed. The expressions for distribution function density of BIIIEE-X family written in terms linear combinations the exponentiated densities based to parent model. New models, i.e., Weibul (WEEW), (LEEW), (LGCEEW), exponentiated-Weibull (BIIIEEW) distributions derived, were plotted probability hazard rate at different levels parameters. Some mathematical properties BIIIEEW model disclosed. maximum likelihood method described. Numerical applications disease cancer datasets provided.