| Preface | p. ix |
| Contributing Authors | p. xiii |
| Networks and Systems | |
| The Signature of a Coherent System | p. 3 |
| Introduction | p. 3 |
| Related Concepts | p. 10 |
| Comparison of Systems - Theory | p. 16 |
| Comparison of Systems - Applications | p. 18 |
| Discussion and Conclusions | p. 25 |
| System Reliability Optimization: An Overview | p. 31 |
| Introduction | p. 32 |
| Redundancy Allocation | p. 34 |
| Optimal Reliability-Redundancy Allocation | p. 41 |
| Multi-Objective Optimization in Reliability System Design | p. 43 |
| Optimal Assignment of Components in Coherent Systems | p. 45 |
| Discussion | p. 47 |
| Methods for Assessing Network Reliability | p. 55 |
| Introduction | p. 55 |
| Notation and Preliminaries | p. 55 |
| Probability Measures for Component Reliability | p. 57 |
| Identical Components and Borel's Paradox | p. 60 |
| Calculating the Reliability of Networks with Unknown Structures | p. 61 |
| Networks with Cascading Failures | p. 65 |
| Recurrent Events | |
| Modelling Heterogeneity: Hierarchical Bayesian Approach | p. 71 |
| Introduction | p. 72 |
| Illustration 1: Valve Failures in Nuclear Power Plants | p. 74 |
| Illustration 2: Repeated Occurrence of Relapses | p. 79 |
| Concluding Remarks | p. 82 |
| Spatial Neutral to the Right Processes | p. 87 |
| Introduction | p. 88 |
| NTR, Levy and Other Processes | p. 88 |
| Spatial Neutral to the Right Process | p. 91 |
| Total Time on Test Transform | p. 99 |
| Models for Recurrent Events in Reliability and Survival Analysis | p. 105 |
| Introduction | p. 105 |
| Mathematical Framework | p. 107 |
| Existing Models | p. 108 |
| A New Class of Models | p. 112 |
| Statistical Identifiability Issue | p. 118 |
| Information and Design | |
| Information Functions for Reliability | p. 127 |
| Introduction | p. 127 |
| Discrimination Information Function | p. 128 |
| Entropy | p. 137 |
| Mutual Information | p. 141 |
| Information in Residual Lifetime | p. 147 |
| Information Statistics | p. 150 |
| Experiments for Reliability Assessment and Improvement | p. 161 |
| Introduction | p. 162 |
| Accelerated Testing for Reliability Assessment | p. 163 |
| Reliability Improvement | p. 168 |
| Reliability Assessment and Improvement with Degradation Data | p. 174 |
| Analysis of Computer and Physical Experimental Life Time Data | p. 183 |
| Introduction | p. 184 |
| The Basics of Data Integration Using RBHM | p. 186 |
| Ball Bearing Example | p. 189 |
| Conclusions | p. 190 |
| The Failure Rate Function and Burn-in | |
| The Shape of Failure Rate Mixtures | p. 197 |
| Introduction | p. 197 |
| Limiting Failure Rates of Mixtures | p. 199 |
| Limiting Monotonicities of Failure Rates of Mixtures | p. 200 |
| Anomalies | p. 202 |
| Mixtures of Linear Failure Rates | p. 203 |
| Mixtures of Additive and Multiplicative Failure Rates | p. 204 |
| Related Results on Bathtub Shape | p. 204 |
| Burn-in-Sequential Stop and Go Strategies | p. 207 |
| Introduction | p. 207 |
| Sequential Burn-in for Different Components with Independent Life-times | p. 210 |
| Sequential Burn-in for Similar Components with Dependent Life-times | p. 218 |
| Software Reliability and Random Environments | |
| Managing Software Development Process | p. 233 |
| Introduction | p. 233 |
| Background | p. 235 |
| Incremental Development Concept | p. 235 |
| Derivation of the Basic Coordination Policy | p. 236 |
| Incremental Development under the Effect of System Size Growth | p. 240 |
| Conclusion | p. 244 |
| Reliability Modeling and Analysis in Random Environments | p. 249 |
| Introduction and Overview | p. 249 |
| Continuous Time Models with Intrinsic Aging | p. 252 |
| Continuous Time Models in Software Reliability Engineering | p. 255 |
| Discrete Time Models | p. 262 |
| Reliability in Composites and Orthopedics | |
| Failure of Brittle Fibers and Composites | p. 277 |
| Introduction | p. 277 |
| Failure Rate Properties of Strength Distributions of Load-Sharing Systems | p. 279 |
| Cumulative Damage Models and Inference Procedures | p. 281 |
| Examples: Tensile Strength of Materials | p. 285 |
| Modeling the Reliability of Hip Replacements | p. 291 |
| Introduction | p. 291 |
| Data and a Model | p. 292 |
| Model Fitting and Checking | p. 293 |
| Reliability Prediction | p. 296 |
| Conclusions | p. 299 |
| Reliability in Finance and Forensics | |
| The Price of Failure | p. 303 |
| Introduction | p. 303 |
| Financial Fundamentals | p. 304 |
| Parameter Estimation | p. 306 |
| Derivatives | p. 307 |
| Application of Reliability Models | p. 311 |
| Warranty: A Surrogate of Reliability | p. 317 |
| Introduction: Terminology | p. 317 |
| Equilibrium Probabilities and "Just" Warranties | p. 318 |
| Failure Models Indexed by Time and Usage | p. 324 |
| Forecasting Financial Reserves for Warranty Claims | p. 327 |
| Summary and Conclusions | p. 330 |
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