Basic Probability Theory (Dover Books on Mathematics)

Biographical Note:
Robert B. Ash is Professor of Mathematics at the University of Illinois.

Table of Contents:
1. Basic Concepts2. Random Variables3. Expectation4. Conditional Probability and Expectation5. Characteristic Functions6. Infinite Sequences of Random Variables7. Markov Chains8. Introduction to StatisticsTablesA Brief BibliographySolutions to ProblemsIndex

Brief Description:
Originally published: New York: Wiley, 1970.

Marc Notes:
Originally published: New York: Wiley, 1970.;Includes bibliographical (p. 289) references and index.

Publisher Marketing:
This introduction to more advanced courses in probability and real analysis emphasizes the probabilistic way of thinking, rather than measure-theoretic concepts. Geared toward advanced undergraduates and graduate students, its sole prerequisite is calculus.
Taking statistics as its major field of application, the text opens with a review of basic concepts, advancing to surveys of random variables, the properties of expectation, conditional probability and expectation, and characteristic functions. Subsequent topics include infinite sequences of random variables, Markov chains, and an introduction to statistics. Complete solutions to some of the problems appear at the end of the book.