An Introduction to Measure-theoretic Probability
eBook - PDF

An Introduction to Measure-theoretic Probability

  1. 462 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

An Introduction to Measure-theoretic Probability

About this book

This book provides in a concise, yet detailed way, the bulk of the probabilistic tools that a student working toward an advanced degree in statistics,probability and other related areas, should be equipped with. The approach is classical, avoiding the use of mathematical tools not necessary for carrying out the discussions. All proofs are presented in full detail.* Excellent exposition marked by a clear, coherent and logical devleopment of the subject* Easy to understand, detailed discussion of material* Complete proofs

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Yes, you can access An Introduction to Measure-theoretic Probability by George G. Roussas in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2004
eBook ISBN
9780080575308
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. An Introduction to Measure—Theoretic Probability
  3. Copyright Page
  4. TABLE OF CONTENTS
  5. PREFACE
  6. CHAPTER 1. Certain Classes of Sets, Measurability, and Pointwise Approximation
  7. CHAPTER 2. Definition and Construction of a Measure and Its Basic Properties
  8. CHAPTER 3. Some Modes of Convergence of Sequences of Random Variables and Their Relationships
  9. CHAPTER 4. The Integral of a Random Variable and Its Basic Properties
  10. CHAPTER 5: Standard Convergence Theorems, the Fubini Theorem
  11. CHAPTER 6: Standard Moment and Probability Inequalities, Convergence in the rth Mean and Its Implications
  12. CHAPTER 7. The Hahn—Jordan Decomposition Theorem, the Lebesgue Decomposition Theorem, and the Radon—Nikodym Theorem
  13. CHAPTER 8. Distribution Functions and Their Basic Properties, Helly—Bray Type Results
  14. CHAPTER 9. Conditional Expectation and Conditional Probability, and Related Properties and Results
  15. CHAPTER 10. Independence
  16. CHAPTER 11. Topics from the Theory of Characteristic Functions
  17. CHAPTER 12. The Central Limit Problem: The Centered Case
  18. CHAPTER 13: The Central Limit Problem: The Noncentered Case
  19. CHAPTER 14: Topics from Sequences of Independent Random Variables
  20. CHAPTER 15: Topics from Ergodic Theory
  21. Appendix
  22. Selected References
  23. Index