: M.S. Nikulin, Nikolaos Limnios, N. Balakrishnan, Waltraud Kahle, Catherine Huber-Carol
: M.S. Nikulin, Nikolaos Limnios, N Balakrishnan, Waltraud Kahle, Catherine Huber-Carol
: Advances in Degradation Modeling Applications to Reliability, Survival Analysis, and Finance
: Birkhäuser Basel
: 9780817649241
: 1
: CHF 85.30
:
: Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
: English
: 416
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

This volume 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. It is an excellent reference for researchers and practitioners in applied probability and statistics, industrial statistics, the health sciences, quality control, economics, and finance.
Contents7
Preface16
William Q. Meeker – Career and Accomplishments18
List of Contributors27
List of Tables31
List of Figures33
Review, Tutorials, and Perspective37
1 Trends in the Statistical Assessment of Reliability38
2 Degradation Processes: An Overview52
3 Defect Initiation, Growth, and Failure – A General Statistical Model and Data Analyses61
4 Properties of Lifetime Estimators Based on Warranty Data Consisting only of Failures72
Shock Models89
5 Shock Models90
6 Parametric Shock Models108
7 Poisson Approximation of Processes with Locally Independent Increments and Semi- Markov Switching – Toward Application in Reliability136
8 On Some Shock Models of Degradation148
Degradation Models156
9 The Wiener Process as a Degradation Model: Modeling and Parameter Estimation157
10 On the General Degradation Path Model: Review and Simulation177
11 A Closer Look at Degradation Models: Classical and Bayesian Approaches186
12 Optimal Prophylaxis Policy Under Non-monotone Degradation210
13 Deterioration Processes with Increasing Thresholds224
14 Failure Time Models Based on Degradation Processes238
15 Degradation and Fuzzy Information263
16 A New Perspective on Damage Accumulation, Marker Processes, and Weibull’s Distribution269
Reliability Estimation and ALT278
17 Reliability Estimation of Mechanical Components Using Accelerated Life Testing Models279
18 Reliability Estimation from Failure-Degradation Data with Covariates301
19 Asymptotic Properties of Redundant Systems Reliability Estimators318
20 An Approach to System Reliability Demonstration Based on Accelerated Test Results on Components336
Survival Function Estimation346
21 Robust Versus Nonparametric Approaches and Survival Data Analysis347
22 Modelling Recurrent Events for Repairable Systems Under Worse Than Old Assumption362
23 Survival Models for Step-Stress Experiments With Lagged Effects378
24 Estimation of Density on Censored Data393
Competing Risk and Chaotic Systems402
25 Toward a Test for Departure of a Trajectory from a Neighborhood of a Chaotic System403
26 Probability Plotting with Independent Competing Risks417
Index435