讨论变环境系统可靠性维修过程中,t0,t1,…,tN内复杂系统出现故障的变参数Poisson过程.利用强马氏性定理证明不同类故障间距次数Xk^n的独立性,给出不同子系统或元器件出现不同故障类型的概率分布:变参数几何分布Xk^n~Geometric(pk),同时验证了几何分布的变动统计特性.
In order to study the reliability maintenace of varied environment systems, the varying parameter Poisson processes of complex multi-component system at t0, t1,…, tN are discussed in this paper. The independece for different kinds of failure times Xk^n is proved by using strong Markov property. The varying parameter geometric distribution is given, that is, Xk^n~Geometric(pk). The statisticsal property of geometric distribution is also verified.