Reliability of Systems Subject to Shocks With a Stochastic Dependence for the Damages

Test

Volumn 12, Issue 2, 2003, Pages 427-444

  Mallor, Fermín ^a   Santos, Javier ^a  

^a PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

Laplace transform; Reliability; Shock model

Indexed keywords

EID: 1342347526     PISSN: 11330686     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02595723     Document Type: Article

References (17)

1. AGRAFIOTIS, G. K. and TSOUKALAS, M. Z. (1995). On excess-time correlated cumulative processes. Journal of the Operational Research Society, 46:1269-1280.
2. ANDERSON, K. K. (1987). Limit theorems for general shock models with infinite mean intershock times. Journal of Applied Probability, 24:449-456.
3. ANDERSON, K. K. (1988). A note on cumulative shock models. Journal of Applied Probability, 25:220-223.
4. ANTZOULAKOS, D. L. (1999). On waiting time problems associated with runs in Markov dependent trials. Annals of the Institute of Statistical Mathematics, 51(2):323-330.
5. FELLER, W. (1968). An Introduction to Probability Theory and its Applications, Vol. 1. John Wiley & Sons, New York.
6. GOLDSTEIN, L. (1990). Poisson approximation in DNA sequence matching. Communications in Statistics, Theory and Methods, 19:4167-4179.
7. GUT, A. (1990). Cumulative shock models. Advances in Applied Probability, 22:504-507.
8. GUT, A. and HÜSLER, J. (1999). Extreme shock models. Extremes, 2(3):295-307.
9. IGAKI, N., SUMITA, U., and KOWADA, M. (1995). Analysis of Markov renewal shock models. Journal of Applied Probability, 32:821-831.
10. LING, K. D. (1989). A new class of negative binomial distributions of order k. Statistics and Probability Letters, 7:371-376.
11. MALLOR, F. and OMEY, E. (2001). Shocks, runs and random sums. Journal of Applied Probability, 38:438-448.
12. MOOD, A. M. (1940). The distribution theory of runs. Annals of Mathematical Statistics, 11:367-392.
13. PÉREZ-OCÓN, R. and GÁMIZ-PÉREZ, M. L. (1995). On the HNBUE property in a class of correlated cumulative shock models. Advances in Applied Probability, 27:1186-1188.
14. ROSS, S. M. (1983). Stochastic Processes. John Wiley & Sons, New York.
15. SHANTHIKUMAR, J. G. and SUMITA, U. (1983). General shock models associated with correlated renewal sequences. Journal of Applied Probability, 20:600-614.
16. SHANTHIKUMAR, J. G. and SUMITA, U. (1984). Distribution properties of the system failure time in a general shock model. Advances in Applied Probability, 16:363-377.
17. SUMITA, U. and SHANTHIKUMAR, J. G. (1985). A class of correlated cumulative shock models. Advances in Applied Probability, 17:347-366.