A Course in Probability Theory by Kai Lai Chung is widely considered a foundational "classic" for advanced probability. First published in 1968 and now in its third edition
"A Course in Probability Theory" is a highly regarded textbook that has been widely used for several decades. Its significance and usefulness can be attributed to several factors: a course in probability theory by kai lai chung pdf
To understand why the search for is so persistent, compare it to alternatives: A Course in Probability Theory by Kai Lai
Detailed proofs of the Law of Large Numbers and various versions of the Central Limit Theorem . or theoretical statistics
Remember: Chung’s book is a weapon. It is sharp, heavy, and dangerous if mishandled. But for the serious student of stochastic processes, measure-theoretic probability, or theoretical statistics, there is no better companion.