
AbstractHazard rate processes are discussed in the context of doubly stochastic Poisson processes. We derive an explicit expression for the reliability function corresponding to an increasing hazard rate processes with independent increments. Also, bounds are obtained for the reliability function of a system with a general hazard rate process.
hazard rate processes, Applications of renewal theory (reliability, demand theory, etc.), Reliability, availability, maintenance, inspection in operations research, reliability functions, doubly stochastic Poisson processes, Itô decomposition
hazard rate processes, Applications of renewal theory (reliability, demand theory, etc.), Reliability, availability, maintenance, inspection in operations research, reliability functions, doubly stochastic Poisson processes, Itô decomposition
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