  In this paper we study the Exponentiated Hypoexponential Distribution with
different parameters. The distribution added a parameter to the n parameters of
the Hypoexponenial distribution. We first derive a closed expression of the
probability density function and the cumulative distribution function of
Maximum Exponentiated Exponential distribution. These functions are used to
determine an exact expression of the probability density function, the
cumulative function, reliability function, and hazard function of our
Exponentiated Hypoexponential Distribution. We discuss estimation of the
parameters by maximum likelihood estimators. The distribution has been fitted
to a real life data set and the fit has been found to be a serious competitor
to the others.
