Multiplicative background risk models in which the idiosyncratic risk factors are assumed to
be distributed exponentially, and the systemic risk factor has an arbitrary distribution on the …

The aim of this article is to obtain a statistical distribution that describes the aggregate
expenditure of tourists related to their length of stay at a given location. This distribution …

In this paper, we address risk aggregation and capital allocation problems in the presence of
dependence between risks. The dependence structure is defined by a mixed Bernstein …

The study of the distributions of sums of dependent risks is a key topic in actuarial sciences,
risk management, reliability and in many branches of applied and theoretical probability …

In this paper, we investigate dependent risk models in which the dependence structure is
defined by an Archimedean copula. Using such a structure with specific marginals, we …

Many copula families, including the classes of Archimedean, elliptical and Liouville copulas,
may be written as the survival copula of a random vector R×(Y 1, Y 2), where R is a strictly …

The frequent occurrence of cyber risks and their serious economic consequences have
created a growth market for cyber insurance. The calculation of aggregate losses, an …

In this paper, a class of multivariate matrix-exponential affine mixtures with matrix-
exponential marginals is proposed. The class is shown to possess various attractive …

In risk theory, the distribution of extreme claim amounts of dependent risks is an essential
element, since it provides valuable information to companies for developing risk reduction …

Based on the random vector (X+ Z, Y+ Z) we study the perturbation C X+ Z, Y+ Z of the
copula CX, Y of the random vector (X, Y) when the random noise Z is independent of both X …