MATHEMATICAL AND STATISTICAL METHODS IN RELIABILITY. Bo H. Lindqvist Kjell A. Doksum Editors
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1 MATHEMATICAL AND STATISTICAL METHODS IN RELIABILITY Bo H. Lindqvist Kjell A. Doksum Editors 1
2 CONTENTS PREFACE CONTRIBUTORS xi xv I RELIABILITY THEORY IN THE PAST AND PRESENT CENTURIES 1 1 MATHEMATICAL RELIABILITY THEORY: FROM THE BEGINNING TO THE PRESENT TIME Richard E. Barlow 3 2 RELIABILITY FOR THE 21ST CENTURY Sallie A. Keller-McNulty and Alyson G. Wilson 15 II GENERAL ASPECTS OF RELIABILITY MODELLING 31 3 ON THE USE OF MODELS AND PARAMETERS IN A BAYESIAN SETTING Terje Aven 33 4 CAUSAL INFLUENCE COEFFICIENTS: A LOCALISED MAXIMUM ENTROPY APPROACH TO BAYESIAN INFERENCE Michael Ingleby and Margaret West 45 5 SUBJECTIVE RELIABILITY ANALYSIS USING PREDICTIVE ELICITATION David F. Percy 57 6 COPULAE AND THEIR USES Carlo Sempi 73 III RELIABILITY OF NETWORKS AND SYSTEMS 87 7 LINKING DOMINATIONS AND SIGNATURES IN NETWORK RELIABILITY THEORY Philip J. Boland, F.J. Samaniego and E. M. Vestrup 89 2
3 8 IMPROVED SIMULATION METHODS FOR SYSTEM RELIABILITY EVALUATION Arne Bang Huseby and Morten Naustdal RELIABILITY OF MULTI-STATE SYSTEMS: A HISTORICAL OVERVIEW Gregory Levitin, Anatoly Lisnianski and Igor Ushakov 123 IV STOCHASTIC MODELLING AND OPTIMIZATION IN RELIABILITY WAITING TIMES ASSOCIATED WITH THE SUM OF SUCCESS RUN LENGTHS D.L. Antzoulakos, S. Bersimis and M.V. Koutras MAXIMUM LIKELIHOOD PREDICTION OF FUTURE RECORD STATISTIC Prasanta Basak and N. Balakrishnan DETECTING CHANGE POINTS ON DIFFERENT INFORMATION LEVELS Tina Herberts and Uwe Jensen THE RELIABILITY OF QUADRATIC DYNAMIC SYSTEMS Arvid Naess INSPECTION AND MAINTENANCE FOR STOCHASTICALLY DETERIORATING SYSTEMS Martin Newby and Richard Dagg 201 V MODELLING IN SURVIVAL AND RELIABILITY ANALYSIS A LOOK BEHIND SURVIVAL DATA: UNDERLYING PROCESSES AND QUASI-STATIONARITY Odd O. Aalen and Håkon K. Gjessing ON SOME PROPERTIES OF DEPENDENCE AND AGING FOR RESIDUAL LIFETIMES IN THE EXCHANGEABLE CASE Bruno Bassan and Fabio Spizzichino 235 3
4 17 EFFICIENT COMPUTATIONAL TECHNIQUES FOR POWER SYSTEMS RELIABILITY ASSESSMENT Dumitru Cezar Ionescu, Paul Ulmeanu, Adrian Constantinescu and Ioan Rotaru PREDICTING DAMAGE Nozer D. Singpurwalla, Chungwai Kong and Andrew Swift WEIBULL-RELATED DISTRIBUTIONS FOR THE MODELLING OF BATHTUB SHAPED FAILURE RATE FUNCTIONS M. Xie, C.D. Lai and D.N.P. Murthy 283 VI STATISTICAL METHODS FOR DEGRADATION DATA ESTIMATION FROM SIMULTANEOUS DEGRADATION AND FAILURE TIME DATA V. Bagdonavicius, A.Bikelis, V. Kazakevicius and M. Nikulin ACCELERATED DESTRUCTIVE DEGRADATION TESTS: DATA, MODELS, AND ANALYSIS Luis A. Escobar, William Q. Meeker, Danny L. Kugler and Laura L. Kramer 319 VII STATISTICAL METHODS FOR MAINTAINED SYSTEMS MODELLING HETEROGENEITY IN NUCLEAR POWER PLANT VALVE FAILURE DATA Madhuchhanda Bhattacharjee, Elja Arjas and Urho Pulkkinen COMPETING RISK PERSPECTIVE ON RELIABILITY DATABASES Cornel Bunea, Roger Cooke and Bo Henry Lindqvist STOCHASTIC MODELLING OF THE JOINT EFFECT OF PREVENTIVE AND CORRECTIVE MAINTENANCE ON REPAIRABLE SYSTEMS RELIABILITY Laurent Doyen and Olivier Gaudoin 371 4
5 25 MODELING THE INFLUENCE OF MAINTENANCE ACTIONS Waltraud Kahle and Charles E. Love A CLASS OF TESTS FOR RENEWAL PROCESS VERSUS MONOTONIC AND NONMONOTONIC TREND IN REPAIRABLE SYSTEMS DATA Jan Terje Kvaløy and Bo Henry Lindqvist A MAINTENANCE MODEL FOR COMPONENTS EXPOSED TO SEVERAL FAILURE MECHANISMS AND IMPERFECT REPAIR Helge Langseth and Bo Henry Lindqvist 415 VIII STATISTICAL INFERENCE IN SURVIVAL ANALYSIS EMPIRICAL PLUG-IN CURVE AND SURFACE ESTIMATES Jiancheng Jiang and Kjell Doksum SOME EXACT AND APPROXIMATE CONFIDENCE REGIONS FOR THE RATIO OF PERCENTILES FROM TWO DIFFERENT DISTRIBUTIONS Richard Johnson and Li-Fei Huang EMPIRICAL ESTIMATORS OF RELIABILITY AND RELATED FUNCTIONS FOR SEMI-MARKOV SYSTEMS Nikolaos Limnios and Brahim Ouhbi CLASSES OF FIXED-ORDER AND ADAPTIVE SMOOTH GOODNESS-OF-FIT TESTS WITH DISCRETE RIGTH-CENSORED DATA Edsel A. Peña 485 IX SOFTWARE RELIABILITY METHODS THEORETICAL AND PRACTICAL CHALLENGES IN SOFTWARE RELIABILITY AND TESTING Philip J. Boland, Santos Faundez Sekirkin and Harshinder Singh 505 5
6 33 ON THE ASYMPTOTIC ANALYSIS OF LITTLEWOOD S RELIABILITY MODEL FOR MODULAR SOFTWARE James Ledoux ADAPTIVE METHODS UNDER PREDICTION MODELS FOR SOFTWARE RELIABILITY Shelemyahu Zacks 537 6
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