一种新的系统寿命分布—混合指数泊松分布

A New Lifetime Distribution of System—Mixture Exponential Poisson Distribution

摘要: 寿命分布问题是统计学中一类重要问题，寿命分布的参数模型具有理论成熟、计算简单、在实践中操作性强等优点。因此，我们定义了在元件寿命服从双参数混合指数分布、元件个数服从泊松分布的情况下的一种新的系统寿命分布——混合指数泊松分布，作为统计模型，研究了该分布的各种性质，且给出了在定数和定时截尾数据下参数的极大似然估计。

Abstract: Lifetime distribution is a class of important matters in statistics, the parameter model of the life-time distribution has the advantages of the mature theory, the simple calculation and the strong operation in practice. Therefore, we define a new lifetime distribution of system—the mixture exponential Poisson distribution based on the condition of the lifetime of the components and the number of the components subject to double parameters mixture exponential distribution and Poisson distribution, respectively. As a statistical model, we studied the various properties of the distribution, and discussed the maximum likelihood estimation of parameters under the condition of censored data of fixed number and time in this paper.