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Evaluation of elicitation methods to quantify Bayes linear models

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  • M Revie
  • T Bedford
  • L Walls

Abstract

The Bayes linear methodology allows decision makers to express their subjective beliefs and adjust these beliefs as observations are made. It is similar in spirit to probabilistic Bayesian approaches, but differs as it uses expectation as its primitive. While substantial work has been carried out in Bayes linear analysis, both in terms of theory development and application, there is little published material on the elicitation of structured expert judgement to quantify models. This paper investigates different methods that could be used by analysts when creating an elicitation process. The theoretical underpinnings of the elicitation methods developed are explored and an evaluation of their use is presented. This work was motivated by, and is a precursor to, an industrial application of Bayes linear modelling of the reliability of defence systems. An illustrative example demonstrates how the methods can be used in practice.

Suggested Citation

  • M Revie & T Bedford & L Walls, 2010. "Evaluation of elicitation methods to quantify Bayes linear models," Journal of Risk and Reliability, , vol. 224(4), pages 322-332, December.
    • Handle: RePEc:sae:risrel:v:224:y:2010:i:4:p:322-332
    DOI: 10.1243/1748006XJRR304
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    1. D Johnson, 2002. "Triangular approximations for continuous random variables in risk analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(4), pages 457-467, April.
    2. Robert T. Clemen & Gregory W. Fischer & Robert L. Winkler, 2000. "Assessing Dependence: Some Experimental Results," Management Science, INFORMS, vol. 46(8), pages 1100-1115, August.
    3. Hora, Stephen C. & Hora, Judith A. & Dodd, Nancy G., 1992. "Assessment of probability distributions for continuous random variables: A comparison of the bisection and fixed value methods," Organizational Behavior and Human Decision Processes, Elsevier, vol. 51(1), pages 133-155, February.
    4. A. O'Hagan & E. B. Glennie & R. E. Beardsall, 1992. "Subjective Modelling and Bayes Linear Estimation in the Uk Water Industry," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 41(3), pages 563-577, November.
    5. Allan H. Murphy & Robert L. Winkler, 1977. "Reliability of Subjective Probability Forecasts of Precipitation and Temperature," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(1), pages 41-47, March.
    6. Donald L. Keefer & William A. Verdini, 1993. "Better Estimation of PERT Activity Time Parameters," Management Science, INFORMS, vol. 39(9), pages 1086-1091, September.
    7. D. G. Malcolm & J. H. Roseboom & C. E. Clark & W. Fazar, 1959. "Application of a Technique for Research and Development Program Evaluation," Operations Research, INFORMS, vol. 7(5), pages 646-669, October.
    8. C. Perry & I. D. Greig, 1975. "Estimating the Mean and Variance of Subjective Distributions in PERT and Decision Analysis," Management Science, INFORMS, vol. 21(12), pages 1477-1480, August.
    9. Garthwaite, Paul H. & Kadane, Joseph B. & O'Hagan, Anthony, 2005. "Statistical Methods for Eliciting Probability Distributions," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 680-701, June.
    Full references (including those not matched with items on IDEAS)

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