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Risk aggregation and stochastic dominance for a class of heavy-tailed distributions

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100  ‎$0‎MAPA20260001647‎$a‎Chen, Yuyu
24510‎$a‎Risk aggregation and stochastic dominance for a class of heavy-tailed distributions‎$c‎Yuyu Chen and Seva Shneer
520  ‎$a‎Distributions with infinite mean are ubiquitous in the realm of banking and insurance, and they are particularly useful in modeling catastrophic losses (Ibragimov et al., 2009), operational losses (Moscadelli, 2004), costs of cyber risk events (Eling andWirfs, 2019), and financial returns from technology innovations (Silverberg and Verspagen, 2007); see also Chen andWang (2025) for a list of empirical examples of distributions with infinite mean. This paper focuses on establishing some stochastic dominance relations for infinite-mean models
650 4‎$0‎MAPA20080602437‎$a‎Matemática del seguro
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20130005317‎$a‎Pérdidas máximas por siniestros
650 4‎$0‎MAPA20080625535‎$a‎Distribuciones de probabilidad
650 4‎$0‎MAPA20080567217‎$a‎Riesgo finito
650 4‎$0‎MAPA20080587598‎$a‎Riesgo operacional
650 4‎$0‎MAPA20160007633‎$a‎Ciberriesgos
650 4‎$0‎MAPA20080560447‎$a‎Rendimiento
650 4‎$0‎MAPA20080586546‎$a‎Nuevas tecnologías
650 4‎$0‎MAPA20080586447‎$a‎Modelo estocástico
7001 ‎$0‎MAPA20260001654‎$a‎Shneer, Seva
7102 ‎$0‎MAPA20100017661‎$a‎International Actuarial Association
7730 ‎$w‎MAP20077000420‎$g‎19/01/2026 Volume 56 Issue 1 - January 2026 , p. 206 - 219‎$x‎0515-0361‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association