  We generalize the results of Ksavrelof and Zeng about the multidistribution
of the excedance number of $S_n$ with some natural parameters to the colored
permutation group and to the Coxeter group of type $D$. We define two different
orders on these groups which induce two different excedance numbers.
Surprisingly, in the case of the colored permutation group, we get the same
generalized formulas for both orders.
