Alpha power transformed extended exponential distribution: properties and applications

In this paper, a three-parameter lifetime model motivated by alpha power transformation is considered. We call the proposed distribution as; the alpha power transformed extended exponential (APTEE). The APTEE model contains new recent models as; alpha power transformed exponential and alpha power transformed Lindley distributions. At the same time, it contains classical models as exponential, gamma, and Lindley distributions. The properties of the APTEE distribution are derived. Parameter estimation is accomplished using maximum likelihood, percentiles, and Cramer-von Mises methods. Simulation issues and applications to real data are emphasized.