Statistical Inference for a General Family of Modified Exponentiated Distributions

In this paper, a modified exponentiated family of distributions is introduced. The new model was built from continuous parent cumulative distribution function and depends on shape parameter. Its most relevant characteristics have been obtained: the probability density function, quantile moments, stochastic ordering, Poisson mixture with our proposal as mixing distribution, order statistics, tail behavior estimates parameters. We highlight particular based classical exponential which an alternative to exponential, gamma Weibull. A simulation study real application are presented. It shown that proposed interest applied areas, such economics, reliability finances.