/sci/ - Science & Math

It depends on how well you know probability theory, the way my school taught statistics was a proper introduction to probability theory (without really going too much into the measure theory), and then a formal look at statistical inference. It was divided into 2 courses (the second course being statistical inference), and both covered the book: "Mathematical Statistics and Data Analysis" by John Rice.

I highly recommend this book, the first half is all probability theory, so you can fill in the gaps you are missing for that, and the second half covers a formal theory of statistical inference that (importantly) ALSO covers non-parametric inference, which is a vital for any statistician to know about today. I am pretty sure there is a PDF of this book floating around on the internet somewhere