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MAPA20170002697
Su, Jianxi
A Form of multivariate pareto distribution with applications to financial risk measurement
Jianxi Su, Edward Furman
A new multivariate distribution possessing arbitrarily parametrized and positively dependent univariate Pareto margins is introduced. Unlike the probability law of Asimit et al. (2010), the structure in this paper is absolutely continuous with respect to the corresponding Lebesgue measure. The distribution is of importance to actuaries through its connections to the popular frailty models, as well as because of the capacity to describe dependent heavy-tailed risks. The genesis of the new distribution is linked to a number of existing probability models, and useful characteristic results are proved. Expressions for, e.g., the decumulative distribution and probability density functions, (joint) moments and regressions are developed. The distributions of minima and maxima, as well as, some weighted risk measures are employed to exemplify possible applications of the distribution in insurance.
MAPA20080602437
Matemática del seguro
MAPA20080604721
Análisis multivariante
MAPA20080582418
Riesgo financiero
MAPA20080588953
Análisis de riesgos
MAPA20100003213
Furman, Edward
MAP20077000420
02/01/2017 Volumen 47 Número 1 - enero 2017 , p. 331-357
0515-0361
Astin bulletin
Belgium : ASTIN and AFIR Sections of the International Actuarial Association