Ebook: Advances in Degradation Modeling: Applications to Reliability, Survival Analysis, and Finance

This volume—dedicated to William Q. Meeker on the occasion of his sixtieth birthday—is a collection of invited chapters covering recent advances in accelerated life testing and degradation models. The book covers a wide range of applications to areas such as reliability, quality control, the health sciences, economics, and finance.

Specific topics covered include:

* Accelerated testing and inference

* Step-stress testing and inference

* Nonparametric inference

* Model validity in accelerated testing

* The point process approach

* Bootstrap methods in degradation analysis

* Exact inferential methods in reliability

* Dynamic perturbed systems

* Degradation models in statistics

Advances in Degradation Modeling is an excellent reference for researchers and practitioners in applied probability and statistics, industrial statistics, the health sciences, quality control, economics, and finance.

---

This volume—dedicated to William Q. Meeker on the occasion of his sixtieth birthday—is a collection of invited chapters covering recent advances in accelerated life testing and degradation models. The book covers a wide range of applications to areas such as reliability, quality control, the health sciences, economics, and finance.

Specific topics covered include:

* Accelerated testing and inference

* Step-stress testing and inference

* Nonparametric inference

* Model validity in accelerated testing

* The point process approach

* Bootstrap methods in degradation analysis

* Exact inferential methods in reliability

* Dynamic perturbed systems

* Degradation models in statistics

Advances in Degradation Modeling is an excellent reference for researchers and practitioners in applied probability and statistics, industrial statistics, the health sciences, quality control, economics, and finance.

---

This volume—dedicated to William Q. Meeker on the occasion of his sixtieth birthday—is a collection of invited chapters covering recent advances in accelerated life testing and degradation models. The book covers a wide range of applications to areas such as reliability, quality control, the health sciences, economics, and finance.

Specific topics covered include:

* Accelerated testing and inference

* Step-stress testing and inference

* Nonparametric inference

* Model validity in accelerated testing

* The point process approach

* Bootstrap methods in degradation analysis

* Exact inferential methods in reliability

* Dynamic perturbed systems

* Degradation models in statistics

Advances in Degradation Modeling is an excellent reference for researchers and practitioners in applied probability and statistics, industrial statistics, the health sciences, quality control, economics, and finance.

Content:
Front Matter....Pages i-xxxviii
Front Matter....Pages 1-1
Trends in the Statistical Assessment of Reliability....Pages 3-16
Degradation Processes: An Overview....Pages 17-25
Defect Initiation, Growth, and Failure – A General Statistical Model and Data Analyses....Pages 27-37
Properties of Lifetime Estimators Based on Warranty Data Consisting only of Failures....Pages 39-55
Front Matter....Pages 56-56
Shock Models....Pages 59-76
Parametric Shock Models....Pages 77-104
Poisson Approximation of Processes with Locally Independent Increments and Semi-Markov Switching – Toward Application in Reliability....Pages 105-116
On Some Shock Models of Degradation....Pages 117-124
Front Matter....Pages 125-125
The Wiener Process as a Degradation Model: Modeling and Parameter Estimation....Pages 127-146
On the General Degradation Path Model: Review and Simulation....Pages 147-155
A Closer Look at Degradation Models: Classical and Bayesian Approaches....Pages 157-180
Optimal Prophylaxis Policy Under Non-monotone Degradation....Pages 181-194
Deterioration Processes With Increasing Thresholds....Pages 195-208
Failure Time Models Based on Degradation Processes....Pages 209-233
Degradation and Fuzzy Information....Pages 235-240
A New Perspective on Damage Accumulation, Marker Processes, and Weibull’s Distribution....Pages 241-249
Front Matter....Pages 250-250
Reliability Estimation of Mechanical Components Using Accelerated Life Testing Models....Pages 253-274
Reliability Estimation from Failure-Degradation Data with Covariates....Pages 275-291
Asymptotic Properties of Redundant Systems Reliability Estimators....Pages 293-310
An Approach to System Reliability Demonstration Based on Accelerated Test Results on Components....Pages 311-320
Front Matter....Pages 321-321
Robust Versus Nonparametric Approaches and Survival Data Analysis....Pages 323-337
Modelling Recurrent Events for Repairable Systems Under Worse Than Old Assumption....Pages 339-354
Survival Models for Step-Stress Experiments With Lagged Effects....Pages 355-369
Estimation of Density on Censored Data....Pages 371-379
Front Matter....Pages 380-380
Toward a Test for Departure of a Trajectory from a Neighborhood of a Chaotic System....Pages 383-396
Probability Plotting with Independent Competing Risks....Pages 397-414
Back Matter....Pages 415-416

---

This volume—dedicated to William Q. Meeker on the occasion of his sixtieth birthday—is a collection of invited chapters covering recent advances in accelerated life testing and degradation models. The book covers a wide range of applications to areas such as reliability, quality control, the health sciences, economics, and finance.

Specific topics covered include:

* Accelerated testing and inference

* Step-stress testing and inference

* Nonparametric inference

* Model validity in accelerated testing

* The point process approach

* Bootstrap methods in degradation analysis

* Exact inferential methods in reliability

* Dynamic perturbed systems

* Degradation models in statistics

Advances in Degradation Modeling is an excellent reference for researchers and practitioners in applied probability and statistics, industrial statistics, the health sciences, quality control, economics, and finance.

Content:
Front Matter....Pages i-xxxviii
Front Matter....Pages 1-1
Trends in the Statistical Assessment of Reliability....Pages 3-16
Degradation Processes: An Overview....Pages 17-25
Defect Initiation, Growth, and Failure – A General Statistical Model and Data Analyses....Pages 27-37
Properties of Lifetime Estimators Based on Warranty Data Consisting only of Failures....Pages 39-55
Front Matter....Pages 56-56
Shock Models....Pages 59-76
Parametric Shock Models....Pages 77-104
Poisson Approximation of Processes with Locally Independent Increments and Semi-Markov Switching – Toward Application in Reliability....Pages 105-116
On Some Shock Models of Degradation....Pages 117-124
Front Matter....Pages 125-125
The Wiener Process as a Degradation Model: Modeling and Parameter Estimation....Pages 127-146
On the General Degradation Path Model: Review and Simulation....Pages 147-155
A Closer Look at Degradation Models: Classical and Bayesian Approaches....Pages 157-180
Optimal Prophylaxis Policy Under Non-monotone Degradation....Pages 181-194
Deterioration Processes With Increasing Thresholds....Pages 195-208
Failure Time Models Based on Degradation Processes....Pages 209-233
Degradation and Fuzzy Information....Pages 235-240
A New Perspective on Damage Accumulation, Marker Processes, and Weibull’s Distribution....Pages 241-249
Front Matter....Pages 250-250
Reliability Estimation of Mechanical Components Using Accelerated Life Testing Models....Pages 253-274
Reliability Estimation from Failure-Degradation Data with Covariates....Pages 275-291
Asymptotic Properties of Redundant Systems Reliability Estimators....Pages 293-310
An Approach to System Reliability Demonstration Based on Accelerated Test Results on Components....Pages 311-320
Front Matter....Pages 321-321
Robust Versus Nonparametric Approaches and Survival Data Analysis....Pages 323-337
Modelling Recurrent Events for Repairable Systems Under Worse Than Old Assumption....Pages 339-354
Survival Models for Step-Stress Experiments With Lagged Effects....Pages 355-369
Estimation of Density on Censored Data....Pages 371-379
Front Matter....Pages 380-380
Toward a Test for Departure of a Trajectory from a Neighborhood of a Chaotic System....Pages 383-396
Probability Plotting with Independent Competing Risks....Pages 397-414
Back Matter....Pages 415-416
....