Tail Moments of Compound Distributions

Recurso electrónico / Electronic resource
Colección: Artículos
Título: Tail Moments of Compound Distributions / Jiandong RenAutor: Ren, Jiandong
Notas: Sumario: In this article, we study the moment transform of both univariate and multivariate compound sums. We first derive simple explicit formulas for the first and second moment transforms when the (loss) frequency distribution is in the so-called (a,b,0) class. Then we show that the derived formulas can be used to efficiently compute risk measures such as the tail conditional expectation (TCE), the tail variance (TV), and higher tail moments. The results generalize those in Denuit (North American Actuarial Journal, 24 (4):51232, 2020).Registros relacionados: En: North American actuarial journal. - Schaumburg : Society of Actuaries, 1997- = ISSN 1092-0277. - 12/09/2022 Tomo 26 Número 3 - 2022 , p. 336-350Materia / lugar / evento: Cálculo actuarial Variables macro-económicas Otras clasificaciones: 7
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