Textbook in PDF format
This is a superb text for all current and future practitioners of statistics. Richard Hamming wrote this book with a clear pedagogical vision of how to approach the subject in a clear yet nontrivial manner. Particularly clear and deep coverage of generating functions cannot be found in any other book ever written.
Offering accessible and nuanced coverage, Richard W. Hamming discusses theories of probability with unique clarity and depth. Topics covered include the basic philosophical assumptions, the nature of stochastic methods, and Shannon entropy. One of the best introductions to the topic, The Art of Probability s filled with unique insights and tricks worth knowing