In this paper, we consider the open question on Spearman's rho and Kendall's tau of Nelsen [1991]. Using a technical hypothesis, we can answer in the positive. One question remains open: how can we understand the technical hypothesis? Because this hypothesis is not right in general, we could...

In this paper, we consider the problem of bounds for distribution convolutions and we present some applications to risk management. We show that the upper Frechet bound is not always the more risky dependence structure. It is in contradiction with the belief in finance that maximal risk...

In this paper, we study the approximation procedures introduced by Li, Mikusinski, Sherwood and Taylor [1997]. We show that there exists a bijection between the set of the discretized copulas and the set of the doubly stochastic matrices. For the Bernstein and checkerboard approximations, we...

Copulas are a general tool to construct multivariate distributions and to investigate dependence structure between random variables. However, the concept of copula is not popular in Finance. In this paper, we show that copulas can be extensively used to solve many financial problems

In this paper, we show that copulas are a very powerful tool for risk management since it fulfills one of its main goals: the modelling of dependence between the individual risks. That is why this approach is an open field for risk