Introduction to Probability

Introduction to Probability

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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.
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Product details

  • Hardback | 400 pages
  • 185.4 x 236.2 x 27.9mm | 997.91g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 0120885956
  • 9780120885954
  • 1,772,053

Review quote

"...the first seven chapters can be used as one term undergraduate course in probability. I am satisfied with the topics covered in each chapter and the order in which they are presented. Numerous solved examples and exercises are provided in each chapter. They support concepts well, and they are of high quality. The examples and exercises are carefully selected and are even better than many texts currently available in the market...I would be happy to adopt this book."
-Subash Bagui Univ of West Florida

"I feel this book covers the topics better and in a more easy to understand way with the conversational tone. There are a lot more examples and I like that the exercises are not too technologically dependent. I would definitely adopt this for my Intro Probability course. The first eight chapters are a perfect fit."
-Pat Goeters Auburn University
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About George G. 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.
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Table of 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
Some Notation and Abbreviations
Answers to the Even-numbered Exercises
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