Advances in Mathematical Modeling for Reliability

Author: Bedford T.;Quigley J.;Walls L.  

Publisher: Ios Press‎

Publication year: 2008

E-ISBN: 9781607503347

P-ISBN(Paperback): 9781586038656

Subject: O1 Mathematics

Keyword: 数学

Language: ENG

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Description

Advances in Mathematical Modeling for Reliability discusses fundamental issues on mathematical modeling in reliability theory and its applications. Beginning with an extensive discussion of graphical modeling and Bayesian networks, the focus shifts towards repairable systems: a discussion about how sensitive availability calculations parameter choices, and emulators provide the potential to perform such calculations on complicated systems to a fair degree of accuracy and in a computationally efficient manner. Another issue that is addressed is how competing risks arise in reliability and maintenance analysis through the ways in which data is censored. Mixture failure rate modeling is also a point of discussion, as well as the signature of systems, where the properties of the system through the signature from the probability distributions on the lifetime of the components are distinguished. The last three topics of discussion are relations among aging and stochastic dependence, theoretical advances in modeling, inference and computation, and recent advances in recurrent event modeling and inference.

Chapter

Repairable Systems Modeling

Some Properties of Incomplete Repair and Maintenance Models

On Models of Degradation and Partial Repairs

Sensitivity Analysis of a Reliability System Using Gaussian Processes

Competing Risks

On Independence of Competing Risks

Bivariate Competing Risks Models Under Masked Causes of Failure

Competing Risks in Repairable Systems

Conditionally Independent Generalized Competing Risks for Maintenance Analysis

Mixture Failure Rate Modeling

Asymptotic Properties of Bivariate Competing Risks Models

On the Reversed Hazard Rate and Mean Inactivity Time of Mixtures

Signature

Bounds on Lifetimes of Coherent Systems with Exchangeable Components

On the Signature of Coherent Systems and Applications for Consecutive k-out-of-n:F Systems

The Use of Stochastic Precedence in the Comparison of Engineered Systems

The Role of Signature and Symmetrization for Systems with Non-Exchangeable Components

Relations Among Aging and Stochastic Dependence

Generalized Marshall-Olkin Models: Aging and Dependence Properties

New Multivariate IFR and DMRL Notions for Exchangeable Dependent Components

Theoretical Advances in Modeling, Inference and Computation

Advances in Bayesian Software Reliability Modeling

Signed Domination of Oriented Matroid Systems

Nonparametric Predictive Inference for k-out-of-m Systems

Recent Advances in Recurrent Event Modeling and Inference

Some Aspects Pertaining to Recurrent Event Modeling and Analysis

Sensitivity Estimates in Dynamic Reliability

Renewal Theory with Discounting

Point Estimation of the Transition Intensities for a Markov Multi-State System via Output Performance Observation

Keyword Index

Author Index

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