%0 Journal Article %T The transmuted transmuted-G family: properties and applications %A Mansour, M. M. %A Abd Elrazik, Enayat M. %A Afify, Ahmed Z. %A Ahsanullah, Mohammad %A Altun, Emrah %J Journal of Nonlinear Sciences and Applications %D 2019 %V 12 %N 4 %@ ISSN 2008-1901 %F Mansour2019 %X This paper introduces a new family of continuous distributions called the transmuted transmuted-G family which extends the quadratic rank transmutation map pioneered by Shaw and Buckley [W. T. Shaw, I. R. Buckley, arXiv preprint, \(\textbf{2007}\) (2007), 28 pages]. We provide two special models of the new family which can be used effectively to model survival data since they accommodate increasing, decreasing, unimodal, bathtub-shaped and increasing-decreasing-increasing hazard functions. We also provide two new characterization theorems of the proposed family. The estimation of the model parameters is performed by the maximum likelihood method. 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