Introduction to Probability
By- George Roussas, University of California, Davis
- George Roussas, University of California, Davis
Roussas's Introduction to Probability features exceptionally clear explanations of the mathematics of probability theory and explores its diverse applications through numerous interesting and motivational examples. It provides a thorough introduction to the subject for professionals and advanced students taking their first course in probability. The content is based on the introductory chapters of Roussas's book, An Intoduction to Probability and Statistical Inference, with additional chapters and revisions.
Audience
This one-semester basic probability textbook is written for students in mathematics, physics, engineering, statistics, actuarial science, operations research, and computer science with a background in elementary calculus taking upper level or graduate level introduction to probability courses.
Hardbound, 400 Pages
Published: September 2006
Imprint: Academic Press
ISBN: 978-0-12-088595-4
Contents
- 1. Some Motivating Examples2. Some Fundamental Concepts 3. The Concept of Probability and Basic Results4. Conditional Probability and Independence5. Numerical Characteristics of a Random Variable 6. Some Special Distributions7. Joint Probability Density Function of Two Random Variables and Related Quantities 8. Joint Moment Generating Function, Covariance and Correlation Coefficient of Two Random Variables 9. Some Generalizations to k Random Variables, and Three Multivariate Distributions 10. Independence of Random Variables and Some Applications 11. Transformation of Random Variables 12. Two Modes of Convergence, the Weak Law of Large Numbers, the Central Limit Theorem, and Further Results 13. An Overview of Statistical Inference AppendixTables Some Notation and Abbreviations Answers to the Even-numbered Exercises
