Uncertain Reasoning: Statistical Methods

 
• Symbolic versus statistical reasoning
• Basic Statistical methods -- Probability
  • Bayes Theorem
• Belief Models and Certainty Factors
  • Reasoning with Certainty factors
  • Overcoming the Bayes Rule shortcomings
• Dempster-Shafer Models
  • Dempster-Shafer Calculus
  • Combining beliefs
• Bayesian networks
  • Implementation
  • Reasoning in Bayesian nets
  • A Practical Example
• Fuzzy Logic
  • Fuzzy Set Theory
• Further Reading
• Exercises