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Uncertainty and Variability Analysis in Multiplicative Risk Models

Author

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  • S. N. Rai
  • D. Krewski

Abstract

Currently, there is a trend away from the use of single (often conservative) estimates of risk to summarize the results of risk analyses in favor of stochastic methods which provide a more complete characterization of risk. The use of such stochastic methods leads to a distribution of possible values of risk, taking into account both uncertainty and variability in all of the factors affecting risk. In this article, we propose a general framework for the analysis of uncertainty and variability for use in the commonly encountered case of multiplicative risk models, in which risk may be expressed as a product of two or more risk factors. Our analytical methods facilitate the evaluation of overall uncertainty and variability in risk assessment, as well as the contributions of individual risk factors to both uncertainty and variability which is cumbersome using Monte Carlo methods. The use of these methods is illustrated in the analysis of potential cancer risks due to the ingestion of radon in drinking water.

Suggested Citation

  • S. N. Rai & D. Krewski, 1998. "Uncertainty and Variability Analysis in Multiplicative Risk Models," Risk Analysis, John Wiley & Sons, vol. 18(1), pages 37-45, February.
    • Handle: RePEc:wly:riskan:v:18:y:1998:i:1:p:37-45
    DOI: 10.1111/j.1539-6924.1998.tb00914.x
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    References listed on IDEAS

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    1. Dale Hattis & David E. Burmaster, 1994. "Assessment of Variability and Uncertainty Distributions for Practical Risk Analyses," Risk Analysis, John Wiley & Sons, vol. 14(5), pages 713-730, October.
    2. F. Owen Hoffman & Jana S. Hammonds, 1994. "Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability," Risk Analysis, John Wiley & Sons, vol. 14(5), pages 707-712, October.
    3. Wout Slob, 1994. "Uncertainty Analysis in Multiplicative Models," Risk Analysis, John Wiley & Sons, vol. 14(4), pages 571-576, August.
    4. Kenneth T. Bogen, 1995. "Methods to Approximate Joint Uncertainty and Variability in Risk," Risk Analysis, John Wiley & Sons, vol. 15(3), pages 411-419, June.
    5. Kevin P. Brand & Mitchell J. Small, 1995. "Updating Uncertainty in an Integrated Risk Assessment: Conceptual Framework and Methods," Risk Analysis, John Wiley & Sons, vol. 15(6), pages 719-729, December.
    6. Russell E. Keenan & Brent L. Finley & Paul S. Price, 1994. "Exposure Assessment: Then, Now, and Quantum Leaps in the Future," Risk Analysis, John Wiley & Sons, vol. 14(3), pages 225-230, June.
    7. Brent Finley & Deborah Proctor & Paul Scott & Natalie Harrington & Dennis Paustenbach & Paul Price, 1994. "Recommended Distributions for Exposure Factors Frequently Used in Health Risk Assessment," Risk Analysis, John Wiley & Sons, vol. 14(4), pages 533-553, August.
    8. Alexander I. Shlyakhter, 1994. "An Improved Framework for Uncertainty Analysis: Accounting for Unsuspected Errors," Risk Analysis, John Wiley & Sons, vol. 14(4), pages 441-447, August.
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    4. Ingwersen, Wesley W., 2010. "Uncertainty characterization for emergy values," Ecological Modelling, Elsevier, vol. 221(3), pages 445-452.

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