When the distribution of life, delayed repair and imperfect repair time are all exponential, Markov renewal process for educing the availability is presented.
并在寿命、修理延迟和维修时间均服从指数分布的情况下，用马尔可夫更新过程理论导出了系统的可用度。
Furthermore, the renewal equation and asymptotic formula of the distribution of the amount of the claim causing ruin are obtained.
此外，还得到了导致破产的索赔额的分布满足的瑕疵更新方程和渐近解。
The Maximum Likelihood Estimator (MLE) of the parameter of interarrival distribution based on renewal process is discussed. It is obtained that the MLE converges strongly to the true parameter.
文中我们讨论了更新过程中分布参数的最大似然估计，证明了最大似然估计是强相合的。
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