Mathematical and statistical methods in reliability / editors, Bo H. Lindqvist, Kjell A. Doksum.

Includes bibliographical references.

Print version record.

This book contains extended versions of 34 carefully selected and reviewed papers presented at the Third International Conference on Mathematical Methods in Reliability, held in Trondheim, Norway in 2002. It provides a broad overview of current research activities in reliability theory and its applications. There are chapters on reliability modelling, network and system reliability, reliability optimization, survival analysis, degradation and maintenance modelling, and software reliability. The authors are all leading experts in the field. A particular feature of the book is a historical revie.

I. Reliability theory in the past and present centuries. 1. Mathematical reliability theory: from the beginning to the present time / Richard E. Barlow -- 2. Reliability for the 21st century / Sallie A. Keller-McNulty and Alyson G. Wilson -- II. General aspects of reliability modelling. 3. On the use of models and parameters in a Bayesian setting / Terje Aven -- 4. Causal influence coefficients: a localised maximum entropy approach to Bayesian inference / Michael Ingleby and Margaret West -- 5. Subjective reliability analysis using predictive elicitation / David F. Percy -- 6. Copulæ and their uses / Carlo Sempi -- III. Reliability of networks and systems. 7. Linking dominations and signatures in network reliability theory / Philip J. Boland, F.J. Samaniego and E.M. Vestrup -- 8. Improved simulation methods for system reliability evaluation / Arne Bang Huseby and Morten Naustdal -- 9. Reliability of multi-state systems: a historical overview / Gregory Levitin, Anatoly Lisnianski and Igor Ushakov -- IV. Stochastic modelling and optimization in reliability. 10. Waiting times associated with the sum of success run lengths / D.L. Antzoulakos, S. Bersimis and M.V. Koutras -- 11. Maximum likelihood prediction of future record statistic / Prasanta Basak and N. Balakrishnan -- 12. Detecting change points on different information levels / Tina Herberts and Uwe Jensen -- 13. The reliability of quadratic dynamic systems / Arvid Naess -- 14. Inspection and maintenance for stochastically deteriorating systems / Martin Newby and Richard Dagg -- V. Modelling in survival and reliability analysis. 15. A look behind survival data: underlying processes and quasi-stationarity / Odd O. Aalen and Håkon K. Gjessing -- 16. On some properties of dependence and aging for residual lifetimes in the exchangeable case / Bruno Bassan and Fabio Spizzichino -- 17. Efficient computational techniques for power systems reliability assessment / Dumitru Cezar Ionescu [and others] -- 18. Predicting damage / Nozer D. Singpurwalla, Chungwai Kong and Andrew W. Swift -- 19. Weibull-related distributions for the modelling of bathtub shaped failure rate functions / M. Xie, C.D. Lai and D.N.P. Murthy.

VI. Statistical methods for degradation data. 20. Estimation from simultaneous degradation and failure time data / V. Bagdonavičius [and others] -- 21. Accelerated destructive degradation tests: data, models, and analysis / Luis A. Escobar [and others] -- VII. Statistical methods for maintained systems. 22. Modelling heterogeneity in nuclear power plant valve failure data / Madhuchhanda Bhattacharjee, Elja Arjas and Urho Pulkkinen -- 23. Competing risk perspective on reliability databases / Cornel Bunea, Roger Cooke and Bo Henry Lindqvist -- 24. Stochastic modelling of the joint effect of preventive and corrective maintenance on repairable systems reliability / Laurent Doyen and Olivier Gaudoin -- 25. Modeling the influence of maintenance actions / Waltraud Kahle and Charles E. Love -- 26. A class of tests for renewal process versus monotonic and nonmonotonic trend in repairable systems data / Jan Terje Kvaløy and Bo Henry Lindqvist -- 27. A maintenance model for components exposed to several failure mechanisms and imperfect repair / Helge Langseth and Bo Henry Lindqvist -- VIII. Statistical inference in survival analysis. 28. Empirical plug-in curve and surface estimates / Jiancheng Jiang and Kjell Doksum -- 29. Some exact and approximate confidence regions for the ratio of percentiles from two different distributions / Richard Johnson and Li-Fei Huang -- 30. Empirical estimators of reliability and related functions for semi-Markov systems / Nikolaos Limnios and Brahim Ouhbi -- 31. Classes of fixed-order and adaptive smooth goodness-of-fit tests with discrete right-censored data / Edsel A. Peña -- IX. Software reliability methods. 32. Theoretical and practical challenges in software reliability and testing / Philip J. Boland, Santos Faundez Sekirkin and Harshinder Singh -- 33. On the asymptotic analysis of Littlewood's reliability model for modular software / James Ledoux -- 34. Adaptive methods under prediction models for software reliability / Shelemyahu Zacks.

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