Mathematical and Statistical Methods in Reliability

CONTENTS......Page 8
Preface......Page 14
Contributors......Page 18
I RELIABILITY THEORY IN THE PAST AND PRESENT CENTURIES......Page 21
1 Mathematical Reliability Theory: From the Beginning to the Present Time......Page 23
2 Reliability for the 21st Century......Page 35
II GENERAL ASPECTS OF RELIABILITY MODELLING......Page 51
3 On the Use of Models and Parameters in a Bayesian Setting......Page 53
4 Causal Influence Coefficients: A Localised Maximum Entropy Approach to Bayesian Inference......Page 65
5 Subjective Reliability Analysis Using Predictive Elicitation......Page 77
6 CopulAE and Their Uses......Page 93
III RELIABILITY OF NETWORKS AND SYSTEMS......Page 107
7 Linking Dominations and Signatures in Network Reliability Theory......Page 109
8 Improved Simulation Methods for System Reliability Evaluation......Page 125
9 Reliability of Multi-State Systems: A Historical Overview......Page 143
IV STOCHASTIC MODELLING AND OPTIMIZATION IN RELIABILITY......Page 159
10 Waiting Times Associated with the Sum of Success Run Lengths......Page 161
11 Maximum Likelihood Prediction of Future Record Statistic......Page 179
12 Detecting Change Points on Different Information Levels......Page 197
13 The Reliability of Quadratic Dynamic Systems......Page 213
14 Inspection and Maintenance for Stochastically Deteriorating Systems......Page 221
V MODELLING IN SURVIVAL AND RELIABILITY ANALYSIS......Page 239
15 A Look Behind Survival Data: Underlying Processes and Quasi-Stationarity......Page 241
16 On Some Properties of Dependence and Aging for Residual Lifetimes in the Exchangeable Case......Page 255
17 Efficient Computational Techniques for Power Systems Reliability Assessment......Page 271
18 Predicting Damage......Page 287
19 Weibull-Related Distributions for the Modelling of Bathtub Shaped Failure Rate Functions......Page 303
VI STATISTICAL METHODS FOR DEGRADATION DATA......Page 319
20 Estimation from Simultaneous Degradation and Failure Time Data......Page 321
21 Accelerated Destructive Degradation Tests: Data Models and Analysis......Page 339
VII STATISTICAL METHODS FOR MAINTAINED SYSTEMS......Page 359
22 Modelling Heterogeneity in Nuclear Power Plant Valve Failure Data......Page 361
23 Competing Risk Perspective on Reliability Databases......Page 375
24 Stochastic Modelling of the Joint Effect of Preventive and Corrective Maintenance on Repairable Systems Reliability......Page 391
25 Modeling the Influence of Maintenance Actions......Page 407
26 A Class of Tests for Renewal Process Versus Monotonic and Nonmonotonic Trend in Repairable Systems Data......Page 421
27 A Maintenance Model for Components Exposed to Several Failure Mechanisms and Imperfect Repair......Page 435
VIII STATISTICAL INFERENCE IN SURVIVAL ANALYSIS......Page 451
28 Empirical Plug-In Curve and Surface Estimates......Page 453
29 Some Exact and Approximate Confidence Regions for the Ratio of Percentiles from Two Different Distributions......Page 475
30 Empirical Estimators of Reliability and Related Functions for Semi-Markov Systems......Page 489
31 Classes of Fixed-Order and Adaptive Smooth Goodness-of-Fit Tests with Discrete Right-Censored Data......Page 505
IX SOFTWARE RELIABILITY METHODS......Page 523
32 Theoretical and Practical Challenges in Software Reliability and Testing......Page 525
33 On the Asymptotic Analysis of Littlewood's Reliability Model for Modular Software......Page 541
34 Adaptive Methods under Prediction Models for Software Reliability......Page 557