A dynamic competing risks model

Probability in the Engineering and Informational Sciences

Volumn 13, Issue 3, 1999, Pages 333-358

  Agustin, Marcus A ^a,c   Peña, Edsel A ^b  

^a WHEELING JESUIT UNIVERSITY   (United States)

^b BOWLING GREEN STATE UNIVERSITY   (United States)

^c UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENGINEERING; INDUSTRIAL ENGINEERING;

ASYMPTOTIC PROPERTIES; COMPETING RISKS; COMPONENT FAILURES; COMPONENT PARAMETERS; FAILURE RATE; SERIES SYSTEM; SYSTEM RELIABILITY; TASK COMPLETION TIME;

FAILURE ANALYSIS;

EID: 0347872819     PISSN: 02699648     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0269964899133060     Document Type: Article

References (25)

1. Agustin, M. (1997). Dynamic competing risks model: Inference and applications. [Unpublished] doctoral dissertation, Bowling Green State University, Bowling Green, Ohio. (Available on request from M. Agustin.)
2. Andersen, P.K., Borgan, Ø., Gill, R.D., & Keiding, N. (1993). Statistical models based on counting processes. New York: Springer-Verlag.
3. Anderson, T. (1984). An introduction to multivariate statistical analysis. New York: Wiley.
4. Arjas, E. (1989). Survival models and martingale dynamics (with discussion). Scandinavian Journal of Statistics 16: 177-225.
5. Billingsley, P. (1961). Statistical inference for Markov processes. Chicago: University of Chicago Press.
6. Blumenthal, S. & Marcus, R. (1975). Estimating population size with exponential failure. Journal of the American Statistical Association 70: 913-922.
7. Borgan, Ø. (1984). Maximum likelihood estimation in parametric counting process models, with applications to censored failure time data. Scandinavian Journal of Statistics 11: 1-16.
8. Chow, C. & Schechner, Z. (1985). On stopping rules in proofreading. Journal of Applied Probability 22: 971-977.
9. Dalal, S. & Mallows, C. (1988). When to stop testing software? Journal of the American Statistical Association 83: 872-879.
10. Ferguson, T. & Hardwick, J. (1989). Stopping rules for proofreading. Journal of Applied Probability 26: 304-313.
11. Fleming, T. & Harrington, D. (1991). Counting processes and survival analysis. New York: Wiley.
12. Forman, E. & Singpurwalla, N. (1977). An empirical stopping rule for debugging and testing computer software. Journal of the American Statistical Association 72: 750-757.
13. Goel, A. & Okumoto, K. (1979). Time-dependent error-detection rate model for software reliability and other performance measures. IEEE Transactions on Reliability 28: 206-211.
14. Jacod, J. (1975). Multivariate point processes: Predictable projection, Radon-Nikodym derivatives, representation of martingales. Zeitschrift für Wahrscheinlichkeitstheorie und Verwunde Gebiete 31: 235-253.
15. Jelinski, Z. & Moranda, P. (1972). Software reliability research. In W. Freiberger (ed.), Statistical computer performance evaluation. New York: Academic Press, pp. 465-484.
16. Joe, H. & Reid, N. (1985). Estimating the number of faults in a system. Journal of the American Statistical Association 80: 222-226.
17. Kurtz, T. (1983). Gaussian approximations for Markov chains and counting processes. Bulletin of the International Statistical Institute 50(1): 361-375.
18. Littlewood, B. & Verrall, J. (1973). A Bayesian reliability growth model for computer software. Applied Statistics 22: 332-346.
19. Musa, J. (1975). A theory of software reliability and its applications. IEEE Transactions on Software Engineering 1: 312-317.
20. Musa, J. & Ackerman, A.F. (1989). Quantifying software validation: When to stop testing? IEEE Software 6: 19-27.
21. Rao, C.R. (1973). Linear statistical inference and its applications. New York: Wiley.
22. Ross, S. (1985). Software reliability: The stopping rule problem. IEEE Transactions on Sofware Engineering 11: 1472-1476.
23. Serfling, R. (1980). Approximation theorems of mathematical statistics. New York: Wiley.
24. Singpurwalla, N. (1991). Determining an optimal time interval for testing and debugging software. IEEE Transactions on Software Engineering 17: 313-319.
25. van Pul, M.C. (1992). Asymptotic properties of a class of statistical models in software reliability. Scandinavian Journal of Statistics 19: 1-23.