Assessment of Reliability for Repairable Systems.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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Define Zt to be the forward recurrence time at t for a renewal process with interarrival time distribution, F, which is assumed to be IMRL increasing mean residual life. It is shown that EphiZt is increasing in t - 0 for all increasing convex 0. An example demonstrates that Zt is not necessarily stochastically increasing nor is the renewal function necessarily concave. Both of these properties are known to hold for F DFR decreasing failure rate. Author
- Statistics and Probability