Failure distributions of shock models
- 1 September 1980
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 17 (3) , 745-752
- https://doi.org/10.2307/3212968
Abstract
A single device shock model is studied. The device is subject to some damage process. Under the assumption that as the cumulative damage increases, the probability that any additional damage will cause failure increases, we find sufficient conditions on the shocking process so that the life distribution will be increasing failure rate.Keywords
This publication has 6 references indexed in Scilit:
- Nonstationary shock modelsStochastic Processes and their Applications, 1973
- Shock Models and Wear ProcessesThe Annals of Probability, 1973
- Branching ProcessesPublished by Springer Nature ,1972
- Some Stochastic Properties of a Compound-Renewal Damage ModelOperations Research, 1966
- STOCHASTIC WEAR PROCESSESPublished by Defense Technical Information Center (DTIC) ,1965
- Total positivity, absorption probabilities and applicationsTransactions of the American Mathematical Society, 1964