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What is Probability and
A Primer on Probability
Jonathan Shapiro
What is Probability and Why Do We Use It?
Why Is Probability Important for This Course
Basic Ideas
Discrete Probabilities and Probability Distributions
Combining Probabilities
Conditional Probabilities are of Fundamental Importance
Rules of Probability Calculation
What is the Meaning of Probability?
Estimating Probabilities from Data -- Statistics
Estimating Discrete Probabilities
The Uncertainty in the Estimate of the Discrete Probability
Application to Validation and Testing of a Classifier
Estimating Continuous Probabilities
Likelihood of Data from Known or Assumed Probability Distributions -- Hypothesis Testing
Inferring Probability Distribution from Data -- The Bayesian Approach
Appendices -- Important Probability Distributions
A. The Binomial Distribution
B. The Gaussian or Normal Distribution
About this document ...
Jon Shapiro
1999-09-23