Introduction to Probability

Roussas Introduction to Probability features. It provides a thorough introduction to practice for the first time in probability. The content is based on Probability and Statistical Inference , with additional chapters and revisions.

. Well-respected author known for great exposition
and readability
. Many real world examples
. Attention to pedagogy including follow up Chapter
Summaries

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 of Theorem, and Further Results
13. An Overview of Statistical Inference
Appendix
Tables
Some Notation and Abbreviations
Answers to the Even-numbered Exercises