3 research outputs found
On the Decreasing Failure Rate property for general counting process. Results based on conditional interarrival times
In the present paper we consider general counting processes stopped at a
random time , independent of the process. Provided that has the
decreasing failure rate (DFR) property, we give sufficient conditions on the
arrival times so that the number of events occurring before preserves the
DFR property of . 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