About the exact simulation of bivariate (reciprocal) Archimax copulas

Abstract We provide an exact simulation algorithm for bivariate Archimax copulas, including instances with negative association. In contrast to existing approaches, the feasibility of our is directly linked availability probability measure described by derivative parameterizing Pickands dependence function. demonstrate that this hypothesis satisfied in many cases interest and, particular, it piece-wise constant functions, which can approximate general case a given level desired accuracy. Finally, be leveraged copulas associated max-infinitely divisible random vectors whose exponent has norm-symmetric survival function, so-called reciprocal copulas.