<p><p><i>Bayesian Inference for Probabilistic Risk Assessment</i> provides a Bayesian foundation for framing probabilistic problems and performing inference on these problems. Inference in the book employs a modern computational approach known as Markov chain Monte Carlo (MCMC). The MCMC approach ma
Bayesian inference for probabilistic risk assessment : a practitioner's guidebook
โ Scribed by Smith, Curtis; Kelly, Dana L
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Leaves
- 230
- Series
- Springer series in reliability engineering
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Bayesian Inference for Probabilistic Risk Assessment provides a Bayesian foundation for framing probabilistic problems and performing inference on these problems. Inference in the book employs a modern computational approach known as Markov chain Monte Carlo (MCMC).ย The MCMC approach may be implemented using custom-written routines or existing general purpose commercial or open-source software.ย This book uses an open-source program called OpenBUGS (commonly referred to as WinBUGS) to solve the inference problems that are described.ย A powerful feature of OpenBUGS is its automatic selection of an appropriate MCMC sampling scheme for a given problem. The authors provide analysis โbuilding blocksโ that can be modified, combined, or used as-is to solve a variety of challenging problems.
The MCMC approach used is implemented via textual scripts similar to a macro-type programming language.ย Accompanying most scripts is a graphical Bayesian network illustrating the elements of the script and the overall inference problem being solved.ย Bayesian Inference for Probabilistic Risk Assessment also covers the important topics of MCMC convergence and Bayesian model checking.
Bayesian Inference for Probabilistic Risk Assessment is aimed at scientists and engineers who perform or review risk analyses. It provides an analytical structure for combining data and information from various sources to generate estimates of the parameters of uncertainty distributions used in risk and reliability models.
โฆ Table of Contents
Front Matter....Pages i-xii
Introduction and Motivation....Pages 1-6
Introduction to Bayesian Inference....Pages 7-13
Bayesian Inference for Common Aleatory Models....Pages 15-38
Bayesian Model Checking....Pages 39-50
Time Trends for Binomial and Poisson Data....Pages 51-60
Checking Convergence to Posterior Distribution....Pages 61-65
Hierarchical Bayes Models for Variability....Pages 67-88
More Complex Models for Random Durations....Pages 89-109
Modeling Failure with Repair....Pages 111-122
Bayesian Treatment of Uncertain Data....Pages 123-140
Bayesian Regression Models....Pages 141-163
Bayesian Inference for Multilevel Fault Tree Models....Pages 165-176
Additional Topics....Pages 177-199
Back Matter....Pages 201-225
โฆ Subjects
Quality Control, Reliability, Safety and Risk; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
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