Items related to Probability and Statistics in Experimental Physics
Synopsis
1. Basic Probability Concepts.- 2. Some Initial Definitions.- 3. Some Results Independent of Specific Distributions.- 4. Discrete Distributions and Combinatorials.- 5. Specific Discrete Distributions.- 6. The Normal (or Gaussian) Distribution and Other Continuous Distributions.- 7. Generating Functions and Characteristic Functions.- 8. The Monte Carlo Method: Computer Simulation of Experiments.- 9. Two Dimensional and Multi-Dimensional Distributions.- 10. The Central Limit Theorem.- 11. Inverse Probability; Confidence Limits.- 12. Methods for Estimating Parameters. Least Squares and Maximum Likelihood.- 13. Curve Fitting.- 14. Bartlett S Function; Estimating Likelihood Ratios Needed for an Experiment.- 15. Interpolating Functions and Unfolding Problems.- 16. Fitting Data with Correlations and Constraints.- 17. Beyond Maximum Likelihood and Least Squares; Robust Methods.- References.
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