George G Roussas - Introduction to Probability, 2e (2013)

Introduction to Probability, by George G. Roussas.

# ISBN-13: 9780128000410
# Publisher: Elsevier Science
# Publication date: 12/16/2013
# Edition number: 2
# Pages: 546


Introduction to Probability, Second Edition, is written for students in statistics, mathematics, engineering, computer science, operations research, actuarial science, biological sciences, economics, physics, and some of the social sciences with a background in a year-long elementary calculus, taking upper level or graduate level introduction to probability courses.

Roussas utilizes his trademark clarity and economy of expression to elucidate important concepts of probability, while providing a plethora of useful examples and exercises of real world applications for students to consider.


Key Features
============

* Includes text, examples, and graphical illustrations-where appropriate-to
motivate the reader, and also demonstrate the applicability of probability
in a great variety of human activities

* Provides a mathematically relatively rigorous, yet accessible and always
within the prescribed prerequisites, discussion of probability theory,
important to students of all disciplines cited above

* Each section provides relevant proofs and is followed by exercises and
hints, providing useful clues to the solutions

* Answers to even-numbered exercises are provided and detailed answers to
all exercises are available to instructors on the book companion site

Contents
========

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
Tables
Some Notation and Abbreviations
Answers to the Even-numbered Exercises


Author
======
George G. Roussas is a Distinguished Professor Emeritus (as of July 01, 2012) of Statistics at the University of California, Davis (UC-Davis), and a well-known author of books, research monographs, editor/co-editor of special volumes, and author/co-author of dozens of research articles published in leading journals of the profession

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