Nadarajah and Haghighi (2011) introduced a new generalization of the exponential distribution as an alternative
to the gamma, Weibull and exponeniated exponential distributions. In this paper, a generalization of the Nadarajah–
Haghighi (NH) distribution namely exponentiated generalized NH distribution is introduced and discussed. The
properties and applications of proposed model to real data are discussed. A Monte Carlo simulation experiment will
be conducted to evaluate the maximum likelihood estimators of unknown parameters.

The Kumaraswamy distribution is a two-parameter distribution on the interval (0,1) that is very similar to beta distribution. This distribution is applicable to many natural phenomena whose outcomes have lower and upper bounds, such as the proportion of people from society who consume certain products in a given interval. 

In this paper, we introduce the family of Kumaraswamy-G distribution, and we detect its hazard rate function, reversible hazard rate function, mean residual life function, mean past life function, and the behavior of each of them. Also, we investigate the stochastic order concept of the family of Kumaraswamy-G distribution. Finally, in the form of a practical example, we analyze the suitability of the Kumaraswamy distribution for real data.