  Inspired by a new relation $\theta_{13}^{\rm PMNS}={\theta_C}/{\sqrt{2}}$
observed from the relatively large $\theta_{13}^{\rm PMNS}$, we find that the
combination of this relation with the quark-lepton complementarity and the
self-complementarity results in correlations of the lepton mixing angles with
the quark mixing angles. We find that the three mixing angles in the PMNS
matrix are all related to the Wolfenstein parameter $\lambda$ in the quark
mixing, so they are also correlated. Consequently, the PMNS matrix can be
parameterized by $\lambda$, A, and a Dirac CP-violating phase $\delta$. Such
parametrizations for the PMNS matrix have the same explicitly hierarchical
structure as the Wolfenstein parametrization for the CKM matrix in the quark
mixing, and the bimaximal mixing pattern is deduced at the leading order. We
also discuss implications of these phenomenological relations in
parametrizations.
