This introductory text surveys random variables, conditional probability and expectation, characteristic functions, infinite sequences of random variables, Markov chains, and an introduction to statistics. Geared toward advanced undergraduates and graduate students. The text does not require measure theory, but underlying measure-theoretic ideas are sketched.
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Chapter 1 Basic Concepts
Chapter 2 Random Variables
Chapter 3 Expectation
Chapter 4 Conditional Probability and Expectation
Chapter 5 Characteristic Functions
Chapter 6 Infinite Sequences of Random Variables
Chapter 7 Markov Chains
Chapter 8 Introduction to Statistics
Tables and Bibliography
Solutions to Selected Problems
Solution Manual to Problems Not Solved in the Text