Sensitivity analysis in Gaussian Bayesian networks using a symbolic-numerical technique

被引：25
作者：
Castillo, E
Kjærulff, U
机构：
[1] Univ Cantabria, Dept Appl Math & Computat Sci, E-39005 Santander, Spain
[2] Aalborg Univ, Dept Comp Sci, DK-9220 Aalborg, Denmark
来源：
RELIABILITY ENGINEERING & SYSTEM SAFETY | 2003年 / 79卷 / 02期
关键词：
sensitivity; Gaussian models; Bayesian networks;
D O I：
10.1016/S0951-8320(02)00225-9
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The paper discusses the problem of sensitivity analysis in Gaussian Bayesian networks. The algebraic structure of the conditional means and variances, as rational functions involving linear and quadratic functions of the parameters, are used to simplify the sensitivity analysis. In particular the probabilities of conditional variables exceeding given values and related probabilities are analyzed. Two examples of application are used to illustrate all the concepts and methods. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：139 / 148
页数：10
相关论文
共 23 条
[1]  
Anderson T., 1984, INTRO MULTIVARIATE S
[2]   SENSITIVITY ANALYSIS FOR PROBABILITY ASSESSMENTS IN BAYESIAN NETWORKS [J].
BLACKMOND, K .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1995, 25 (06) :901-909
[3]   Tail uncertainty analysis in complex systems [J].
Castillo, E ;
Solares, C ;
Gomez, P .
ARTIFICIAL INTELLIGENCE, 1997, 96 (02) :395-419
[4]   High-probability one-sided confidence intervals in reliability models [J].
Castillo, E ;
Solares, C ;
Gomez, P .
NUCLEAR SCIENCE AND ENGINEERING, 1997, 126 (02) :158-167
[5]   Uncertainty analyses in fault trees and Bayesian networks using FORM SORM metlnods [J].
Castillo, E ;
Sarabia, JM ;
Solares, C ;
Gómez, P .
RELIABILITY ENGINEERING & SYSTEM SAFETY, 1999, 65 (01) :29-40
[6]   Symbolic propagation and sensitivity analysis in Gaussian Bayesian networks with application to damage assessment [J].
Castillo, E ;
Gutierrez, JM ;
Hadi, AS ;
Solares, C .
ARTIFICIAL INTELLIGENCE IN ENGINEERING, 1997, 11 (02) :173-181
[7]   Estimating extreme probabilities using tail simulated data [J].
Castillo, E ;
Solares, C ;
Gomez, P .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 1997, 17 (2-3) :163-189
[8]   Sensitivity analysis in discrete Bayesian networks [J].
Castillo, E ;
Gutierrez, JM ;
Hadi, AS .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS, 1997, 27 (04) :412-423
[9]  
CASTILLO E, 1996, P 12 C UNC ART INT U, P133
[10]  
Castillo E., 1997, Expert Systems and Probabilistic Network Models
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