Sensitivity Analysis in Gaussian Bayesian Networks Using a Divergence Measure

This article develops a method for computing the sensitivity analysis in a Gaussian Bayesian network. The measure presented is based on the Kullback–Leibler divergence and is useful to evaluate the impact of prior changes over the posterior marginal density of the target variable in the network. We...

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Bibliographic Details
Authors: Gómez Villegas, Miguel Ángel, Main Yaque, Paloma, Susi García, María Del Rosario
Format: article
Publication Date:2007
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/49802
Online Access:https://hdl.handle.net/20.500.14352/49802
Access Level:Open access
Keyword:519.226.3
Gaussian Bayesian network
Kullback–Leibler divergence
Sensitivity analysis
Estadística aplicada
Description
Summary:This article develops a method for computing the sensitivity analysis in a Gaussian Bayesian network. The measure presented is based on the Kullback–Leibler divergence and is useful to evaluate the impact of prior changes over the posterior marginal density of the target variable in the network. We find that some changes do not disturb the posterior marginal density of interest. Finally, we describe a method to compare different sensitivity measures obtained depending on where the inaccuracy was. An example is used to illustrate the concepts and methods presented.