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Quantifying Uncertainty of Insurance Claims Based on Expert Judgments

Author

Listed:
  • Budhi Handoko

    (Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, West Java, Indonesia)

  • Yeny Krista Franty

    (Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, West Java, Indonesia)

  • Fajar Indrayatna

    (Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, West Java, Indonesia)

Abstract

In Bayesian statistics, prior specification has an important role in determining the quality of posterior estimates. We use expert judgments to quantify uncertain quantities and produce appropriate prior distribution. The aim of this study was to quantify the uncertainty of life insurance claims, especially on the policy owner’s age, as it is the main factor determining the insurance premium. A one-day workshop was conducted to elicit expert judgments from those who have experience in accepting claims. Four experts from different insurance companies were involved in the workshop. The elicitation protocol used in this study was The Sheffield Elicitation Framework (SHELF), which produces four different statistical distributions for each expert. A linear pooling method was used to aggregate the distributions to obtain the consensus distribution among experts. The consensus distribution suggested that the majority of policy owners will make a claim at the age of 54 years old.

Suggested Citation

  • Budhi Handoko & Yeny Krista Franty & Fajar Indrayatna, 2025. "Quantifying Uncertainty of Insurance Claims Based on Expert Judgments," Mathematics, MDPI, vol. 13(2), pages 1-13, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:2:p:245-:d:1565973
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    References listed on IDEAS

    as
    1. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    2. Eckstein, Zvi & Eichenbaum, Martin & Peled, Dan, 1985. "Uncertain lifetimes and the welfare enhancing properties of annuity markets and social security," Journal of Public Economics, Elsevier, vol. 26(3), pages 303-326, April.
    3. Leung, Siu Fai, 1994. "Uncertain Lifetime, the Theory of the Consumer, and the Life Cycle Hypothesis," Econometrica, Econometric Society, vol. 62(5), pages 1233-1239, September.
    4. Valentina Bosetti, 2015. "Innovation under Uncertainty," Review of Environment, Energy and Economics - Re3, Fondazione Eni Enrico Mattei, April.
    5. 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.
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