Abstract
This paper summarizes the results presented at the International Conference on Lifetime Data Models in Reliability and Survival Analysis held at Harvard University in June 1994. A detailed version will appear elsewhere.
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Andersen, P., Borgan, O., Gill, R. and Keiding, N. (1993), Statistical Models Based on Counting Processes, Springer-Verlag: New York.
Arjas, E. (1981), “The Failure and Hazard Processes in Multivariate Reliability Systems,” Mathematics of Operations Research, 6, 551–562.
Arjas, E. (1989), “Survival Models and Martingale Dynamics (with discussions),” Scandinavian Journal of Statistics, 16, 177–225.
Arjas, E. and Norros, I. (1984), “Life lengths and association: a dynamic approach,” Mathematics of Operations Research, 9, 151–158.
Barlow, R. and Proschan, F. (1981), Statistical Theory of Reliability and Life Testing —Probability Models, To Begin With: Silver Spring, MD.
Birnbaum, Z. and Saunders, S. (1958), “A Statistical Model for Life-Length of Materials,” Journal of the American Statistical Association, 53, 151–160.
Coleman, B. (1957a). “Time Dependence of Mechanical Breakdown in Bundles of Fibers. I. Constant Total Load,” Journal of Applied Physics, 28, 1058–1064.
Coleman, B. (1957b). “Time Dependence of Mechanical Breakdown in Bundles of Fibers. II. The Infinite Ideal Bundle under Linearly Increasing Loads,” Journal of Applied Physics, 28, 1065–1067.
Freund, J. (1961), “A Bivariate Extension of the Exponential Distribution,” Journal of the American Statistical Association, 56, 971–977.
Hollander, M. and Peña, E. (1994), “ Dynamic Reliability Models With Conditional Proportional Hazards.” Submitted for publication.
Jacod, J. (1975), “Multivariate point processes: predictable projection, Radon-Nikodym derivatives, representation of martingales,” Z. Wahrsch. verw. Geb., 34, 225–244.
Littlewood, B. (1980), “Theories of Software Reliability: How Good Are They and How Can They Be Improved?” IEEE Transactions on Software Engineering, SE-6, 489–500.
Littlewood, B. and Verrall, J. (1973), “A Bayesian reliability growth model for software reliability,” in Conf. Rec., 1973 IEEE Symp. Comput. Software Reliability, New York, Apr. 30-May 2, 1973, pp. 70–76.
Phoenix, S. L. (1978), “The Asymptotic Time to Failure of a Mechanical System of Parallel Members,” SIAM Journal of Applied Mathematics, 34, 227–246.
Prentice, R., Williams, B. and Peterson, A. (1981), “On the regression analysis of multivariate failure time data,” Biometrika, 68, 373–379.
Ross, S. (1984), “A Model in Which Component Failure Rates Depend on the Working Set,” Naval Research Logistics Quarterly, 31, 297–300.
Schechner, Z. (1984), “A Load-Sharing Model: The Linear Breakdown Rule,” Naval Research Logistics Quarterly, 31, 137–144.
Shaked, M. and Shantikumar, J. G. (1988), “On the First Failure Time of Dependent Multicomponent Reliability Systems,” Mathematics of Operations Research, 13, 50–64.
Slud, E. (1984), “Multivariate Dependent Renewal Processes,” Advances in Applied Probability, 16, 347–362.
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© 1996 Springer Science+Business Media Dordrecht
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Hollander, M., Peña, E.A. (1996). Dynamic Reliability Models. In: Jewell, N.P., Kimber, A.C., Lee, ML.T., Whitmore, G.A. (eds) Lifetime Data: Models in Reliability and Survival Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-5654-8_19
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DOI: https://doi.org/10.1007/978-1-4757-5654-8_19
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