In this paper, we extend the concept of mutual exclusivity proposed by Dhaene and Denuit (1999) to its tail counterpart and baptise this new dependency structure as tail mutual exclusivity. Probability levels are first specified for each component of the random vector. Under this dependency...

In this paper, we extend the concept of mutual exclusivity proposed by Dhaene and Denuit (1999) to its tail counterpart and baptise this new dependency structure as tail mutual exclusivity. Probability levels are first specified for each component of the random vector. Under this dependency...

For any random vector X = (X1; ...;Xn) on a given probability space (Ω;F;Pr), one can always instruct comonotonic modi cations of X, which are de ned as random vectors with the same marginals as X but with the comonotonic copula describing their dependency structure. In this short note, we...