Some additional references on Bayesian statistics:

Gelman, Carlin, Stern, and Rubin. Bayesian Data Analysis. Second edition 2003 or first edition 1995. Chapman and Hall/CRC press.
Gilks, Richardson, and Spiegelhalter. Markov Chain Monte Carlo in Practice. 1995. Chapman and Hall/CRC press.
Gamerman, D. Markov Chain Monte Carlo: Stochastic Simulation for Bayesian Inference. 1997. Chapman and Hall/CRC press.

For a review of calculus-based probability and inference, I suggest

DeGroot, M. and Schervish, M. Probability and Statistics. 2002. Addison-Wesley, third edition.

Other alternatives include (in decreasing order of difficulty):

Casella, G. and Berger, R. Statistical Inference. 2001. Wadsworth, second edition.
Hogg, McKean, and Craig. Introduction to Mathematical Statistics. 2005. Prentice Hall, sixth edition.
Ross, S. A First Course in Probability. 2001. Prentice Hall, sixth edition.