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Inference in hybrid Bayesian networks

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  • Langseth, Helge
  • Nielsen, Thomas D.
  • Rumí, Rafael
  • Salmerón, Antonio

Abstract

Since the 1980s, Bayesian networks (BNs) have become increasingly popular for building statistical models of complex systems. This is particularly true for boolean systems, where BNs often prove to be a more efficient modelling framework than traditional reliability techniques (like fault trees and reliability block diagrams). However, limitations in the BNs’ calculation engine have prevented BNs from becoming equally popular for domains containing mixtures of both discrete and continuous variables (the so-called hybrid domains). In this paper we focus on these difficulties, and summarize some of the last decade's research on inference in hybrid Bayesian networks. The discussions are linked to an example model for estimating human reliability.

Suggested Citation

  • Langseth, Helge & Nielsen, Thomas D. & Rumí, Rafael & Salmerón, Antonio, 2009. "Inference in hybrid Bayesian networks," Reliability Engineering and System Safety, Elsevier, vol. 94(10), pages 1499-1509.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:10:p:1499-1509
    DOI: 10.1016/j.ress.2009.02.027
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    References listed on IDEAS

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    1. Langseth, Helge & Portinale, Luigi, 2007. "Bayesian networks in reliability," Reliability Engineering and System Safety, Elsevier, vol. 92(1), pages 92-108.
    2. Rafael Rumí & Antonio Salmerón & Serafín Moral, 2006. "Estimating mixtures of truncated exponentials in hybrid bayesian networks," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(2), pages 397-421, September.
    3. Christofides, A. & Tanyi, B. & Christofides, S. & Whobrey, D. & Christofides, N., 1999. "The optimal discretization of probability density functions," Computational Statistics & Data Analysis, Elsevier, vol. 31(4), pages 475-486, October.
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