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An Alternative Approach to the Modeling of Probability Distributions

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  • S.Y. Jimmy Chan

Abstract

This note suggests the use of Bézier curves to model probability distributions on computers. This represents an approach completely different from the current practice, which mostly employs parametric families or piece‐wise polynomials. The Bézier curves combine simplicity and flexibility with an easy manipulation method, allowing more accurate curves to be modeled to data.

Suggested Citation

  • S.Y. Jimmy Chan, 1993. "An Alternative Approach to the Modeling of Probability Distributions," Risk Analysis, John Wiley & Sons, vol. 13(1), pages 97-102, February.
    • Handle: RePEc:wly:riskan:v:13:y:1993:i:1:p:97-102
    DOI: 10.1111/j.1539-6924.1993.tb00732.x
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    References listed on IDEAS

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    1. Kimberly M. Thompson & David E. Burmaster, 1991. "Parametric Distributions for Soil Ingestion by Children," Risk Analysis, John Wiley & Sons, vol. 11(2), pages 339-342, June.
    2. 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.
    3. Ann M. Roseberry & David E. Burmaster, 1992. "Lognormal Distributions for Water Intake by Children and Adults," Risk Analysis, John Wiley & Sons, vol. 12(1), pages 99-104, March.
    4. M. Granger Morgan & Samuel C. Morris & Max Henrion & Deborah A. L. Amaral & William R. Rish, 1984. "Technical Uncertainty in Quantitative Policy Analysis — A Sulfur Air Pollution Example," Risk Analysis, John Wiley & Sons, vol. 4(3), pages 201-216, September.
    5. Max Henrion & M. Granger Morgan, 1985. "A Computer Aid for Risk and Other Policy Analysis," Risk Analysis, John Wiley & Sons, vol. 5(3), pages 195-208, September.
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