Cluster shock models
Cluster shock models
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DOI：
10.2307/3213170
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发表时间：
1981-03
影响因子：
1
通讯作者：
P. Thall
中科院分区：
文献类型：
--
作者：
P. Thall
Esary、马歇尔和Proschan（1973）以及A-Hameed和Proschan（1973）、（1975）研究了器械在一系列随机冲击下的存活分布。本说明处理的情况下，冲击发生根据齐次泊松集群过程。它表明，如果[该设备生存k冲击] = zk，0 < z < 1，那么该设备表现出一个递减的故障率。证明了完全单调情形下的DFR保持定理。给出了IFR保持定理的一个反例，其中是严格IFR，而失效率是先减后增的。
The survival distribution of a device subject to a sequence of shocks occurring randomly over time is studied by Esary, Marshall and Proschan (1973) and by A-Hameed and Proschan (1973), (1975). The present note treats the case in which shocks occur according to a homogeneous Poisson cluster process. It is shown that if [the device survives k shocks] = zk , 0 < z < 1, then the device exhibits a decreasing failure rate. A DFR preservation theorem is proved for completely monotonic . A counterexample to the IFR preservation theorem is given in which is strictly IFR while the failure rate is initially decreasing and then increasing.