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Worst-case distortion risk measures of transformed losses with uncertain distributions lying in Wasserstein balls
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MAP20260002095
Cai, Jun ‌
Worst-case distortion risk measures of transformed losses with uncertain distributions lying in Wasserstein balls / Jun Cai, Fangda Liu and Mingren Yin
Sumario: This paper studies the worst-case distortion risk measures of the limited stop-loss transformtogether with its special cases, the stop-loss and limited loss transformswhen the underlying loss distribution is uncertain and lies within a general kkk-order Wasserstein ball around a reference distribution. We derive explicit expressions for these worst-case risk measures and identify the corresponding worst-case distributions. Our results also recover the findings of Guan et al. (2023) on worst-case stop-loss premiums under Wasserstein uncertainty. Numerical examples illustrate the worst-case distributions and risk measures, and we examine how the reference distribution, the Wasserstein ball radius, and the retention levels affect premiums for limited stop-loss reinsurance
En: Astin bulletin. - Belgium : ASTIN and AFIR Sections of the International Actuarial Association = ISSN 0515-0361. - 19/01/2026 Volume 56 Issue 1 - January 2026 , p. 270 - 294
1. Gestión de riesgos ‌. 2. Distribución de riesgos ‌. 3. Incertidumbre ‌. 4. Cálculo actuarial ‌. 5. Matemática del seguro ‌. 6. Modelos matemáticos ‌. I. Liu, Fangda ‌. II. Yin, Mingren ‌. III. International Actuarial Association ‌. IV. Título.