On the Construction of Kumaraswamy-Epsilon Distribution with Applications

A new probability distribution function of the Kumaraswamy-G family is introduced in this study. It is constructed from a parent distribution called the epsilon distribution. This new distribution has more flexible probability density function shapes that suggest its possible use, for example, in modeling lifetime data generation processes. Its hazard rate function and order statistics distributions were derived. The distribution significantly provided good fit to two real life datasets with efficient parameter estimates within twice their standard errors. These attest to its practical applicability.