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Mean residual life and increasing convex comparison of shock models

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.
Year of publication:
1994
Authors: Fagiuoli, E. ; Pellerey, F.
Published in:
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 20.1994, 5, p. 337-345
Publisher: Elsevier
Keywords: Shock models Counting processes Mean residual life ordering Increasing convex ordering Expectation ordering IFR property
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10005259266
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