Can anyone recommend some books that are considered to be standard references for classical (frequentist) statistics? IE, fairly comprehensive, and also, been around for a while so that typos and mistakes in formulas had a chance to be checked and corrected
E. L. Lehmann, Theory of Point Estimation, 1983, and its companion book, Testing Statistical Hypotheses.
(NB: The latest edition of TPE, coauthored with George Casella, has not been getting good reviews on Amazon, but the original is still a classic.)
I have found Statistical Inference by Casella and Berger to be a relatively comprehensive introduction.
I'd recommend Theory of Statistics by Mark Schervish.
A comprehensive and authoratative reference is Kendall's Advanced Theory of Statistics
Volume 1 Distribution Theory
Volume 2A Classical Inference and Linear Models
There is also a Volume 2B but it is Bayesian Inference.
Other than those, I agree the Casella and Berger is an excellent reference at the graduate level, and suggest Bain and Engelhardt's Introduction to Probability and Mathematical Statistics for upper-level undergraduates.