Reasoning About Uncertainty 

1 2 3

• 1. Table of Contents

• 2. BackCover

• 3. Reasoning About Uncertainty

• 4. Preface

• 5. Chapter 1: Introduction and Overview

  Overview

• 6. 1.1 Some Puzzles and Problems

  1.1 Some Puzzles and Problems

• 7. 1.2 An Overview of the Book

  1.2 An Overview of the Book

• 8. Notes

  Notes

• 9. Chapter 2: Representing Uncertainty

  Overview

• 10. 2.1 Possible Worlds

  2.1 Possible Worlds

• 11. 2.2 Probability Measures

  2.2 Probability Measures 2.2.1 Justifying Probability

• 12. 2.3 Lower and Upper Probabilities

  2.3 Lower and Upper Probabilities

• 13. 2.4 Dempster-Shafer Belief Functions

  2.4 Dempster-Shafer Belief Functions

• 14. 2.5 Possibility Measures

  2.5 Possibility Measures

• 15. 2.6 Ranking Functions

  2.6 Ranking Functions

• 16. 2.7 Relative Likelihood

  2.7 Relative Likelihood

• 17. 2.8 Plausibility Measures

  2.8 Plausibility Measures

• 18. 2.9 Choosing a Representation

  2.9 Choosing a Representation

• 19. Exercises

  Exercises

• 20. Notes

  Notes

• 21. Chapter 3: Updating Beliefs

  Overview

• 22. 3.1 Updating Knowledge

  3.1 Updating Knowledge

• 23. 3.2 Probabilistic Conditioning

  3.2 Probabilistic Conditioning 3.2.1 Justifying Probabilistic Conditioning 3.2.2 Bayes Rule

• 24. 3.3 Conditioning with Sets of Probabilities

  3.3 Conditioning with Sets of Probabilities

• 25. 3.4 Evidence

  3.4 Evidence

• 26. 3.5 Conditioning Inner and Outer Measures

  3.5 Conditioning Inner and Outer Measures

• 27. 3.6 Conditioning Belief Functions

  3.6 Conditioning Belief Functions

• 28. 3.7 Conditioning Possibility Measures

  3.7 Conditioning Possibility Measures

• 29. 3.8 Conditioning Ranking Functions

  3.8 Conditioning Ranking Functions

• 30. 3.9 Conditioning Plausibility Measures

  3.9 Conditioning Plausibility Measures 3.9.1 Constructing Conditional Plausibility Measures 3.9.2 Algebraic Conditional Plausibility Spaces

• 31. 3.10 Jeffrey s Rule

  3.10 Jeffrey s Rule

• 32. 3.11 Relative Entropy

  3.11 Relative Entropy

• 33. Exercises

  Exercises

• 34. Notes

  Notes

• 35. Chapter 4: Independence and Bayesian Networks

  Overview

• 36. 4.1 Probabilistic Independence

  4.1 Probabilistic Independence

• 37. 4.2 Probabilistic Conditional Independence

  4.2 Probabilistic Conditional Independence

• 38. 4.3 Independence for Plausibility Measures

  4.3 Independence for Plausibility Measures

• 39. 4.4 Random Variables

  4.4 Random Variables

• 40. 4.5 Bayesian Networks

  4.5 Bayesian Networks 4.5.1 Qualitative Bayesian Networks 4.5.2 Quantitative Bayesian Networks 4.5.3 Independencies in Bayesian Networks 4.5.4 Plausibilistic Bayesian Networks Exercises

• 41. Notes

  Notes

• 42. Chapter 5: Expectation

  Overview

• 43. 5.1 Expectation for Probability Measures

  5.1 Expectation for Probability Measures

• 44. 5.2 Expectation for Other Notions of Likelihood

  5.2 Expectation for Other Notions of Likelihood 5.2.1 Expectation for Sets of Probability Measures 5.2.2 Expectation for Belief Functions 5.2.3 Inner and Outer Expectation 5.2.4 Expectation for Possibility Measures and Ranking Functions

• 45. 5.3 Plausibilistic Expectation

  5.3 Plausibilistic Expectation

• 46. 5.4 Decision Theory

  5.4 Decision Theory 5.4.1 The Basic Framework 5.4.2 Decision Rules 5.4.3 Generalized Expected Utility

• 47. 5.5 Conditional Expectation

  5.5 Conditional Expectation

• 48. Exercises

  Exercises

• 49. Notes

  Notes

• 50. Chapter 6: Multi-Agent Systems

  Overview

1 2 3