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Generalized Logit-Based Proportional Hazards Models and Their Applications in Survival and Reliability Analyses Read chapter Read first chapter

2013 | OriginalPaper | Chapter

Dynamical Systems with Semi-Markovian Perturbations and Their Use in Structural Reliability

Authors : Julien Chiquet, Nikolaos Limnios

Published in: Stochastic Reliability and Maintenance Modeling

Publisher: Springer London

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Abstract

The aim of this chapter is to present dynamical systems evolving in continuous-time and perturbed by semi-Markov processes (SMP). We investigate both probabilistic modeling and statistical estimation of such models. This work was initially developed in order to study cracking problems for the confinement device in nuclear power plants, where a jump Markov process was used as the perturbing process. The new key element here is the use of SMPs instead of Markov ones for the randomization of the system. Several numerical illustrations in reliability are investigated, accompanied with guidelines for a practical numerical implementation.

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Metadata
Title
Dynamical Systems with Semi-Markovian Perturbations and Their Use in Structural Reliability
Authors
Julien Chiquet
Nikolaos Limnios
Copyright Year
2013
Publisher
Springer London
Book
Stochastic Reliability and Maintenance Modeling

Print ISBN: 978-1-4471-4970-5

Electronic ISBN: 978-1-4471-4971-2

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-1-4471-4971-2_10