中文摘要：

采用复合分布的方法,将一个参数λ和一个已有分布组合成一个新的分布的方法,研究新分布与原分布之间的DFR的继承性和似然序关系.在原分布分别取为指数分布和正态分布时,分析其密度函数和危险率函数的等统计特征.最后,用一组数据进行实证研究,利用极大似然估计估计出参数,分别用指数扩展分布和指数分布拟合进行比较.

英文摘要：

Through compound distributions, a parameter A is introduced to expand a family of distributions . It has been shown that ageing property DFR is transmitted from one random variable to the new one. In addition, the closure of this model under different stochastic orders viz. likelihood ratio order, shifted likelihood ratio orders and shifted hazard rate orders is discussed. Also, this method is applied to exponential distribution and Log-normal distribution. Finally, application of the extended distribution to a data set representing the remission times of bladder cancer patients is given and its goodness-of-fit is demonstrated.