Introduction to probability /
Roussas, George G.,
Introduction to probability / George Roussas. - xii, 387 pages : illustrations ; 25 cm
Includes bibliographical references and index.
Some Motivating Examples -- Some Fundamental Concepts -- The Concept of Probability and Basic Results -- Conditional Probability and Independence -- Numerical Characteristics of a Random Variable -- Some Special Distributions -- Joint Probability Density Function of Two Random Variables and Related Quantities -- Joint Moment Generating Function, Covariance and Correlation Coefficient of Two Random Variables -- Some Generalizations to k Random Variables, and Three Multivariate Distributions -- Independence of Random Variables and Some Applications -- Transformation of Random Variables -- Two Modes of Convergence, the Weak Law of Large Numbers, the Central Limit Theorem, and Further Results -- An Overview of Statistical Inference Appendix. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.
"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.? Well-respected author known for great exposition and readability? Many real world examples? Attention to pedagogy including follow up Chapter Summaries"--Publisher description.
0120885956 9780120885954
2006050099
Probabilities--Textbooks
Probabilities.
QA273 / .R8647 2007
519.2
Introduction to probability / George Roussas. - xii, 387 pages : illustrations ; 25 cm
Includes bibliographical references and index.
Some Motivating Examples -- Some Fundamental Concepts -- The Concept of Probability and Basic Results -- Conditional Probability and Independence -- Numerical Characteristics of a Random Variable -- Some Special Distributions -- Joint Probability Density Function of Two Random Variables and Related Quantities -- Joint Moment Generating Function, Covariance and Correlation Coefficient of Two Random Variables -- Some Generalizations to k Random Variables, and Three Multivariate Distributions -- Independence of Random Variables and Some Applications -- Transformation of Random Variables -- Two Modes of Convergence, the Weak Law of Large Numbers, the Central Limit Theorem, and Further Results -- An Overview of Statistical Inference Appendix. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.
"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.? Well-respected author known for great exposition and readability? Many real world examples? Attention to pedagogy including follow up Chapter Summaries"--Publisher description.
0120885956 9780120885954
2006050099
Probabilities--Textbooks
Probabilities.
QA273 / .R8647 2007
519.2