A Course in Probability Theory
Since the publication of the first edition of this classic textbook over thirty years ago, tens of thousands of students have used A Course in Probability Theory. New in this edition is an introduction to measure theory that expands the market, as this treatment is more consistent with current courses.
While there are several books on probability, Chung's book is considered a classic, original work in probability theory due to its elite level of sophistication.
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Chapter 1 Distribution function
Chapter 2 Measure theory
Chapter 3 Random variable Expectation Independence
Chapter 4 Convergence concepts
Chapter 5 Law of large numbers Random series
Chapter 6 Characteristic function
Chapter 7 Central limit theorem and its ramifications