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.

翻译：本文研究具有不同参数的指数型超指数分布。该分布为具有n个参数的Hypoexponential分布增加了一个参数。我们首先推导了最大指数型指数分布的概率密度函数和累积分布函数的闭合表达式。这些函数用于确定我们提出的指数型超指数分布的概率密度函数、累积函数、可靠性函数和风险函数的精确表达式。我们讨论了通过极大似然估计进行参数估计的方法。该分布已应用于真实数据集进行拟合，结果表明其拟合效果对其他分布构成了强有力的竞争。