The Exponentiated Topp-Leone Distribution: Properties and Application

The Topp-Leone distribution was first introduced by (Topp and Leone, 5511) as a probability distribution with bounded sapport which is useful for modelling life-time phenomena. In this paper, we propose a generalization of the Topp-Leone distribution refered to as the exponantiated Topp-Leone distribution. We study many aspects of the new model like hazard rate function, the moments and the order statisrics. We discuss maximum likelihood estimation of the model parameters. In application to a real data set, we show that the exponentiated Topp-Leone model can be used quite effectively in analyzing data.

کلیدواژه ها:

Hazard function ، Maximum Likelihood ، Topp-Leone distribution