关于一般计数过程的递减故障率属性。基于条件到达间隔的结果
On the Decreasing Failure Rate property for general counting process. Results based on conditional interarrival times
摘要：
在本文中，我们考虑一般的计数过程停止在一个随机的时间$T$，独立的过程。假设$T$具有递减故障率（DFR）性质，给出了到达时间的充分条件，使得在$T$之前发生的事件数保持$T$的DFR性质.这些条件涉及条件到达间隔的研究。作为一个主要的应用，我们证明了DFR性质的背景下，维修模型的可靠性，考虑Kijima I型虚拟年龄模型在相当一般的假设。
英文摘要：
In the present paper we consider general counting processes stopped at a random time $T$, independent of the process. Provided that $T$ has the decreasing failure rate (DFR) property, we give sufficient conditions on the arrival times so that the number of events occurring before $T$ preserves the DFR property of $T$. These conditions involve the study of the conditional interarrival times. As a main application, we prove the DFR property in a context of maintenance models in reliability, by the consideration of Kijima type I virtual age models under quite general assumptions.
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