Signed excedance enumeration in classical and affine Weyl groups

Based on the notions of colored and absolute excedances introduced by Bagno and Garber and their affine versions introduced by Mongelli, we compute the signed generating function of such statistics. Moreover, whenever possible, we derive a combinatorial interpretation of the coefficients of such generating functions. This paper is inspired by a paper of S. Sivasubramanian in which the author enumerates signed statistics on the group of classical permutations.