On lifetimes in random environments

Naval Research Logistics

Volumn 45, Issue 4, 1998, Pages 365-375

  Di Crescenzo, Antonio ^a   Pellerey, Franco ^b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

Hazard rate; Hazard rate order; ILR property; Likelihood ratio order; Random lifetimes; Repairable components; Usual stochastic order

Indexed keywords

FAILURE ANALYSIS; HAZARDS; RANDOM PROCESSES; REPAIR; SERVICE LIFE;

HAZARD RATE ORDER; LIKELIHOOD RATIO ORDER; RANDOM ENVIRONMENTS; USUAL STOCHASTIC ORDER;

MILITARY EQUIPMENT;

EID: 0032099155     PISSN: 0894069X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1520-6750(199806)45:4<365::AID-NAV3>3.0.CO;2-3     Document Type: Article

References (14)

1. Antelman, G., and Savage, I.R., "Characteristic Functions of Stochastic Integrals and Reliability Theory," Naval Research Logistic Quarterly, 12, 199-222 (1965).
2. Barlow, R.E., and Proschan, F., Statistical Theory of Reliability and Life Testing, To Begin With, Silver Spring, MD, 1981.
3. Block, H.E., Langberg, N.A., and Savits, T.H., "Maintenance Comparisons: Block Policies," Journal of Applied Probability, 27, 649-657 (1990).
4. Deshpande, J.V., and Singh, H., "Optimal Replacement of Improving and Deteriorating Repairable System," IEEE Transactions on Reliability, 44, 500-504 (1995).
5. Ebrahimi, N., "How to Define System Improvement and Deterioration for a Repairable System," IEEE Transactions on Reliability, 38, 214-217 (1989).
6. Ebrahimi, N., "Ordering of Repairable Systems," Journal of Applied Probability, 27, 193-201 (1990).
7. Ebrahimi, N., "Improvement and Deterioration of a Repairable System," Sankhya, Series A, 55, 233-243 (1993).
8. Gaver, D.P., "Random Hazard in Reliability Problems," Technometrics, 5, 211-226 (1963).
9. Karlin, S., Total Positivity, Stanford University Press, Stanford, CA, 1968.
10. Kebir, Y., "On Hazard Rate Processes," Naval Research Logistics, 38, 865-876 (1991).
11. Reynolds, D.S., and Savage, I.R., "Random Wear Models in Reliability Theory," Advances in Applied Probability, 3, 229-248 (1971).
12. Shaked, M., and Shanthikumar, J.G., Stochastic Orders and Their Applications, Academic Press, San Diego, 1994.
13. Shaked, M., and Wong, T., "Stochastic Orders Based on Ratios of Laplace Transforms," Journal of Applied Probability, 34, 404-419 (1997).
14. Shaked, M., and Szekli, R., "Comparison of Replacement Policies via Point Processes," Advances in Applied Probability, 27, 1079-1103.