Two devices are subjected to shocks arriving according to a general counting process. Let M1 and M2 be the random number of shocks that cause the failure of the first and the second device, respectively. We find conditions on the counting process such that the mean residual life ordering, the increasing convex ordering and the expectation ordering between M1 and M2 are preserved in the random lifetimes of the two devices
Fagiuoli, E., Pellerey, F. (1994). Mean Residual Life and Increasing Convex Comparison of Shock Models. STATISTICS & PROBABILITY LETTERS, 20(5), 337-345 [10.1016/0167-7152(94)90124-4].
Mean Residual Life and Increasing Convex Comparison of Shock Models
FAGIUOLI, ENRICO RENZO CESARE;
1994
Abstract
Two devices are subjected to shocks arriving according to a general counting process. Let M1 and M2 be the random number of shocks that cause the failure of the first and the second device, respectively. We find conditions on the counting process such that the mean residual life ordering, the increasing convex ordering and the expectation ordering between M1 and M2 are preserved in the random lifetimes of the two devices
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