ON THE LEHMAN TYPE-2 TOP-LEONE TYPE-2 FRÉCHET DISTRIBUTION AND ITS USE IN MODELING CANCER REMISSION DURATIONS

In this article we develop a new four-parameters model called the Lehman type II Top-Leone Fréchet (LT-2TLT-2F) distribution which exhibits non-monotone hazard rate. Many models such as Lehman type II Fréchet (LTIIF), Type II Top-Leone Fréchet (TIITLF), Generalized Exponentiated Fréchet (GEF), and Fréchet (F) are sub models. Some of its properties including moment, reliability, moment generating function, Incomplete moments, and hazard rate are investigated. The method of maximum likelihood is proposed to estimate the model parameters. Moreover, we give the advantage of the LT-2TLT-2F distribution by an application using two real datasets.