The Odd Log-Logistic Transmuted-G Family of Distributions: Properties, Characterization, Applications and Different Methods of Estimation

In this work, we propose a new class of lifetime distributions called the odd log-logistic transmuted-G family. The proposed family is constructed by compounding distribution with transmuted distribution. It can provide better fits than some known models and fact represents good characterization Some characterizations for are presented as well its mathematical properties including. maximum likelihood, Least squares weighted least squares, Cram\'{e}r--von--Mises, Anderson-Darling right-tailed Anderson-Darlingare product spacings methods used estimating model parameters. importance flexibility illustrated means an application to real data set.