Degradation Processes in Reliability
"Degradation process" refers to many types of reliability models, which correspond to various kinds of stochastic processes used for deterioration modeling. This book focuses on the case of a univariate degradation model with a continuous set of possible outcomes. The envisioned univariate models have one single measurable quantity which is assumed to be observed over time. The first three chapters are each devoted to one degradation model. The last chapter illustrates the use of the previously…
Read More ↓Title Statements
- Full title :Degradation Processes in Reliability / Waltraud Kahle, Sophie Mercier and Christian Paroissin.
Summary
"Degradation process" refers to many types of reliability models, which correspond to various kinds of stochastic processes used for deterioration modeling. This book focuses on the case of a univariate degradation model with a continuous set of possible outcomes. The envisioned univariate models have one single measurable quantity which is assumed to be observed over time. The first three chapters are each devoted to one degradation model. The last chapter illustrates the use of the previously described degradation models on some real data sets. For each of the degradation models, the authors provide probabilistic results and explore simulation tools for sample paths generation. Various estimation procedures are also developed.
Read More ↓Edition Statements
- Publication Date:2016.
Publication Statements
- Publisher(s):ISTE Ltd and John Wiley & Sons Inc
- Place of Publication:London
- Language:eng
- Publication Date:2016.
The Physical Object
- Description:1 online resource (238 pages)
Edition Identifiers
- ISBN:111930749X, 9781119307495, 111930752X, 9781119307525, 9781119307488, 1119307481
- oclc:ocn951809858
- LC Classification:TS156
- Dewey Decimal:620
Table of Contents
Cover; Title Page; Copyright; Contents; Abbreviations and Notations; Introduction; 1: Wiener Processes; 2: Gamma Processes; 3: Doubly Stochastic Marked Poisson Processes; 4: Model Selection and Application to Real Data Sets; Bibliography; Index; Other titles from ISTE in Mathematics and Statistics; ELUA; I.1. From lifetime data to degradation path observations; I.2. A few real data sets; I.3. A brief overview of classical degradation models; I.4. The mathematical framework; I.5. Outline of the book; 1.1. Gaussian distribution; 1.2. Brownian motion; 1.3. Constructions and simulation methods.
1.4. Wiener process (Brownian motion with drift)1.5. First passage time (time to failure); 1.6. Statistical inference; 1.7. Extension and related models; 2.1. Gamma distribution; 2.2. Poisson random measures; 2.3. Definition and basic properties of a gamma process; 2.4. Series representations; 2.5. Simulation; 2.7. Statistical inference in parametric models; 2.8. Statistical inference in the semi-parametric model; 2.9. Statistical inference for models with random effects (frailty model); 2.10. Extensions and related models; 3.1. Modeling degradation by marked point processes.
3.2. Statistical…
Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Files & Downloads
-
Degradation Processes in Reliability -- (.pdf)
PDF · 3.2 MB · updated
Rate & Review