Centro de Documentacion de Fundación MAPFRE - Tail Moments of Compound Distributions

MAP20220023733

Tail Moments of Compound Distributions / Jiandong Ren

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)

En: North American actuarial journal. - Schaumburg : Society of Actuaries, 1997- = ISSN 1092-0277. - 12/09/2022 Tomo 26 Número 3 - 2022 , p. 336-350

1. Cálculo actuarial . 2. Variables macro-económicas . I. Título.