  Parametric correlations are studied in several classes of covariant density
functional theories (CDFTs) using a statistical analysis in a large parameter
hyperspace. In the present manuscript, we investigate such correlations for two
specific types of models, namely, for models with density dependent meson
exchange and for point coupling models. Combined with the results obtained
previously in Ref. [1] for a non-linear meson exchange model, these results
indicate that parametric correlations exist in all major classes of CDFTs when
the functionals are fitted to the ground state properties of finite nuclei and
to nuclear matter properties. In particular, for the density dependence in the
isoscalar channel only one parameter is really independent. Accounting for
these facts potentially allows one to reduce the number of free parameters
considerably.
