Introduction to Probability book cover

Introduction to Probability

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.

Audience
Upper level undergraduate students and graduate level students

Hardbound, 546 Pages

Published: December 2013

Imprint: Academic Press

ISBN: 978-0-12-800041-0

Contents

  • Preface
    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
    Appendix
    Some Notation and Abbreviations
    Answers to the Even-Numbered Exercises
    Index

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