For a random vector $(X,Y)$ characterized by a copula $C_{X,Y}$ we study its perturbation $C_{X+Z,Y}$ characterizing the random vector $(X+Z,Y)$ affected by a noise $Z$ independent of both $X$ and $Y$. Several examples are added, including a new comprehensive parametric copula family $\left(\mathcal{C}_k \right) _{k \in [-\infty, \infty]}$.
copula, noise, perturbation of copula, random vector
60E05, 62H20