Multivariate Subexponential Distributions and Their Applications

Abstract

We propose a new definition of a multivariate subexponential distribution. We compare this definition with the two existing notions of multivariate subexponentiality, and compute the asymptotic behaviour of the ruin probability in the context of an insurance portfolio, when multivariate subexponentiality holds. Previously such results were available only in the case of multivariate regularly varying claims.

References in corpus (1)

• The principle of a single big jump: discrete and continuous time modulated random walks with heavy-tailed increments