What is a good introduction to statistics for a mathematician who is already well-versed in probability? I have two distinct motivations for asking, which may well lead to different suggestions:
I'd like to better understand the statistics motivation behind many problems considered by probabilists.
I'd like to know how to better interpret the results of Monte Carlo simulations which I sometimes do to form mathematical conjectures.
I'm open to the possibility that the best way to go is not to look for something like "Statistics for Probabilists" and just go to a more introductory source.