﻿ 一种新的系统寿命分布—混合指数泊松分布

# 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

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.

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