Transmuted exponentiated gamma distribution:a generalization of the exponentiated gamma probability distribution

摘要

The exponentiated gamma (EG) distribution is one of the important families of distributions inlifetime tests. In this paper, a new generalized version of this distribution which is calledTransmuted exponentiated gamma (TEG) distribution is introduced. A new distribution is moreflexible and has some interesting properties. A comprehensive mathematical treatment of the TEGdistribution is provided. We derive the rth moment and moment generating function thisdistribution. Moreover, we discuss the maximum likelihood estimation of this distribution.