  The certification of Bell nonlocality or quantum steering implies the use of
incompatible measurements. Here we make this connection quantitative. We show
how to strengthen robustness-based steering and nonlocality quantifiers in
order that they give strong lower bounds to previously proposed incompatibility
quantifiers. Our results can be seen from two perspectives. On the one hand,
they can be used to estimate how much steering or nonlocality can be
demonstrated with a given set of measurements. On the other hand, they gives
one-sided device-independent and device-independent ways of estimating
measurement incompatibility.
