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Introduction to Probability

Autor George G. Roussas
en Limba Engleză Paperback – 31 aug 2006
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.
Written by a well-respected author known for great exposition and readability
Boasts many real world examples
Pedagogy includes chapter summaries, tables of distributions and formulas, and answers to even-numbered exercises"
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Specificații

ISBN-13: 9781493300006
ISBN-10: 1493300008
Pagini: 400
Ediția:
Editura: Academic Press

Cuprins

Preface1. Some Motivating Examples2. Some Fundamental Concepts 3. The Concept of Probability and Basic Results4. Conditional Probability and Independence5. Numerical Characteristics of a Random Variable 6. Some Special Distributions7. 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 AppendixSome Notation and Abbreviations Answers to the Even-Numbered ExercisesIndex

Recenzii

"...a very traditional mathematics text on the topic of probability. Readers should be comfortable with multiple integrals and, in spots, a little linear algebra. The writing is clear and concise." --MAA.org, August 18 2014