  We evaluate generalized information measures constructed with Husimi
distributions and connect them with the Wehrl entropy, on the one hand, and
with thermal uncertainty relations, on the other one. The concept of escort
distribution plays a central role in such a study. A new interpretation
concerning the meaning of the nonextensivity index $q$ is thereby provided. A
physical lower bound for $q$ is also established, together with a ``state
equation" for $q$ that transforms the escort-Cramer--Rao bound into a thermal
uncertainty relation.
