Advances in Degradation Modeling (eBook)

Contents 7
Preface 16
William Q. Meeker – Career and Accomplishments 18
List of Contributors 27
List of Tables 31
List of Figures 33
Review, Tutorials, and Perspective 37
1 Trends in the Statistical Assessment of Reliability 38
2 Degradation Processes: An Overview 52
3 Defect Initiation, Growth, and Failure – A General Statistical Model and Data Analyses 61
4 Properties of Lifetime Estimators Based on Warranty Data Consisting only of Failures 72
Shock Models 89
5 Shock Models 90
6 Parametric Shock Models 108
7 Poisson Approximation of Processes with Locally Independent Increments and Semi- Markov Switching – Toward Application in Reliability 136
8 On Some Shock Models of Degradation 148
Degradation Models 156
9 The Wiener Process as a Degradation Model: Modeling and Parameter Estimation 157
10 On the General Degradation Path Model: Review and Simulation 177
11 A Closer Look at Degradation Models: Classical and Bayesian Approaches 186
12 Optimal Prophylaxis Policy Under Non-monotone Degradation 210
13 Deterioration Processes with Increasing Thresholds 224
14 Failure Time Models Based on Degradation Processes 238
15 Degradation and Fuzzy Information 263
16 A New Perspective on Damage Accumulation, Marker Processes, and Weibull’s Distribution 269
Reliability Estimation and ALT 278
17 Reliability Estimation of Mechanical Components Using Accelerated Life Testing Models 279
18 Reliability Estimation from Failure-Degradation Data with Covariates 301
19 Asymptotic Properties of Redundant Systems Reliability Estimators 318
20 An Approach to System Reliability Demonstration Based on Accelerated Test Results on Components 336
Survival Function Estimation 346
21 Robust Versus Nonparametric Approaches and Survival Data Analysis 347
22 Modelling Recurrent Events for Repairable Systems Under Worse Than Old Assumption 362
23 Survival Models for Step-Stress Experiments With Lagged Effects 378
24 Estimation of Density on Censored Data 393
Competing Risk and Chaotic Systems 402
25 Toward a Test for Departure of a Trajectory from a Neighborhood of a Chaotic System 403
26 Probability Plotting with Independent Competing Risks 417
Index 435