Nonstationary Shock Models.
Abstract
The paper extends results obtained by Esary, Marshall, and Proschan (1970) in 'Shock models and wear processes', Florida State University Statistics Report M231R. Life distribution properties of a device subject to shocks governed by a nonhomogeneous Poisson process are related to corresponding properties of the probability of failing after experiencing a given number of shocks. Physically motivated models are analyzed in which shocks cause damage to a set of components, the damages accumulate additively, and when the accumulated damage exceeds a critical threshold (possibly random) for any of the components, the device fails. Bounds are obtained on the mean life of the device. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1972
- Accession Number
- AD0753117
Entities
People
- Frank Proschan
- Mohamed Abdul-hameed
Organizations
- Florida State University