Introduction to Probability, 2nd Edition

Introduction to Probability, 2nd Edition,George Roussas,ISBN9780128000410


Academic Press



235 X 191

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.

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USD 175.00

Key Features

  • Demonstrates the applicability of probability to many human activities with examples and illustrations
  • Discusses probability theory in a mathematically rigorous, yet accessible way
  • Each section provides relevant proofs, and is followed by exercises and useful hints
  • Answers to even-numbered exercises are provided and detailed answers to all exercises are available to instructors on the book companion site


Introduction to Probability, Second Edition, is written for upper-level undergraduate students in statistics, mathematics, engineering, computer science, operations research, actuarial science, biological sciences, economics, physics, and some of the social sciences. With his trademark clarity and economy of language, the author explains important concepts of probability, while providing useful exercises and examples of real world applications for students to consider. After introducing fundamental probability concepts, the book proceeds to topics including special distributions, the joint probability density function, covariance and correlation coefficients of two random variables, and more.


Upper level undergraduate students and graduate level students

George Roussas

George G. Roussas received his B.A. in Mathematics at the University of Athens, Greece, and his Ph.D. in Statistics at the University of California, Berkeley. Roussas is currently Professor and Associate Dean of Statistics at the University of California, Davis. His teaching career began at the University of Wisconsin, Madison. Then he was a Professor of Applied Mathematics at the University of Patras, Greece, and also served as the Dean of the College of Sciences and as Chancellor of that University. At the University of Crete, Greece, Roussas served as Vice President of Academic Affairs. Roussas has published several books, and had more than 65 research papers published in refereed journals. He is a Fellow of the Institute of Mathematical Statistics, the American Statistical Association, and the Royal Statistical Society, and is an elected member of the International Statistical Institute. Finally, Roussas is the Associate Editor of two journals, Statistics and Probability Letters, and Nonparametric Statistics.

Affiliations and Expertise

University of California, Davis, USA

View additional works by George G. Roussas

Introduction to Probability, 2nd Edition

1. Some Motivating Examples
2. Some Fundamental Concepts
3. The Concept of Probability and Basic Results
4. Conditional Probability and Independence
5. Numerical Characteristics of a Random Variable
6. Some Special Distributions
7. 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
Some Notation and Abbreviations
Answers to the Even-numbered Exercises
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