Introduction to Probability
eBook - PDF

Introduction to Probability

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

About this book

This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

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Yes, you can access Introduction to Probability by David F. Anderson,Timo Seppäläinen,Benedek Valkó in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title page
  3. Series page
  4. Title page
  5. Copyright page
  6. Dedication
  7. Contents
  8. Preface
  9. To the instructor
  10. From gambling to an essential ingredient of modern science and society
  11. Chapter 1 Experiments with random outcomes
  12. Chapter 2 Conditional probability and independence
  13. Chapter 3 Random variables
  14. Chapter 4 Approximations of the binomial distribution
  15. Chapter 5 Transforms and transformations
  16. Chapter 6 Joint distribution of random variables
  17. Chapter 7 Sums and symmetry
  18. Chapter 8 Expectation and variance in the multivariate setting
  19. Chapter 9 Tail bounds and limit theorems
  20. Chapter 10 Conditional distribution
  21. Appendix A Things to know from calculus
  22. Appendix B Set notation and operations
  23. Appendix C Counting
  24. Appendix D Sums, products and series
  25. Appendix E Table of values for Φ(x)
  26. Appendix F Table of common probability distributions
  27. Answers to selected exercises
  28. Bibliography
  29. Index