Applying the imprecise Dirichlet model in cases with partial observations and dependencies in failure data

International Journal of Approximate Reasoning

Volumn 50, Issue 2, 2009, Pages 257-268

  Troffaes, Matthias C M ^a   Coolen, Frank P A ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Bayesian inference; Imprecise Dirichlet model; Independence; Partial observations; Robustness; Selection bias

Indexed keywords

DATA REDUCTION; INFERENCE ENGINES; KNOWLEDGE BASED SYSTEMS;

BAYESIAN INFERENCE; IMPRECISE DIRICHLET MODEL; INDEPENDENCE; PARTIAL OBSERVATIONS; ROBUSTNESS; SELECTION BIAS;

BAYESIAN NETWORKS;

EID: 59749094186     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2008.03.013     Document Type: Article

References (11)

1. Walley P. Statistical Reasoning with Imprecise Probabilities (1991), Chapman and Hall, London
2. Walley P. Inferences from multinomial data: learning about a bag of marbles. Journal of the Royal Statistical Society 58 1 (1996) 3-34
3. W.E. Vesely, F.F. Goldberg, N.H. Roberts, D.F. Haasl, Fault Tree Handbook NUREG-0492, US Nuclear Regulatory Commission, Washington DC, 1981.
4. Hamada M.S., Martz H., Reese C.S., Graves T., Johnson V., and Wilson A. A fully bayesian approach for combining multilevel failure information in fault tree quantification and optimal follow-on resource allocation. Reliability Engineering and System Safety 86 (2004) 297-305
5. Coolen F.P.A. An imprecise Dirichlet model for Bayesian analysis of failure data including right-censored observations. Reliability Engineering and System Safety 56 (1997) 61-68
6. Utkin L.V., and Gurov S.V. New reliability models based on imprecise probabilities. In: Hsu C. (Ed). Advanced Signal Processing Technology (2001), World Scientific 110-139 (Chapter 6)
7. Utkin L. Cautious reliability analysis of multi-state and continuum-state systems based on the imprecise Dirichlet model, International Journal of Reliability. Quality and Safety Engineering 13 5 (2006) 433-453
8. L.V. Utkin, F.P.A. Coolen, Imprecise reliability: an introductory overview, in: Computational Intelligence in Reliability Engineering, vol. 2, New Metaheuristics, Neural and Fuzzy Techniques in Reliability, Springer, 2007, pp. 261-306.
9. de Cooman G., and Zaffalon M. Updating beliefs with incomplete observations. Artificial Intelligence 159 1-2 (2004) 75-125
10. Utkin L.V. A method for processing the unreliable expert judgments about parameters of probability distributions. European Journal of Operational Research 175 1 (2006) 385-398
11. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, 10th ed., National Bureau of Standards, Washington DC, 1972.