Pré-Publication, Document De Travail Année : 2025

Estimation of the conditional tail moment risk measure under random right censoring

Résumé

Estimators of the conditional tail moment risk measure based on extreme Kaplan-Meier integral constructions are proposed. The situation when observations are heavy-tailed and subject to right-censoring is considered, which arises often in non-life insurance. Weak convergence is established for both standard and bias-reduced versions of the estimator, and the finite-sample performance is studied through simulations. A real data application to a theft guarantee from a Danish non-life insurer is considered.

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Dates et versions

hal-04879997 , version 1 (10-01-2025)
hal-04879997 , version 2 (25-06-2025)
hal-04879997 , version 3 (07-07-2025)

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  • HAL Id : hal-04879997 , version 3

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Martin Bladt, Yuri Goegebeur, Armelle Guillou. Estimation of the conditional tail moment risk measure under random right censoring. 2025. ⟨hal-04879997v3⟩
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