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Preface
Introduction
Probability
Conditional Probability
Bayes Theorem
Example of exponential growth
Harmonic mean
Covariance and correlation
Probability Distributions
Random Walk
Measurements uncertainties
Interactive Example - Error Matrix
Sliding Mean
Monte Carlo methods
Random numbers generators with “numpy”
Statistical inference
Parameter Estimation - Likelihood
Interactive Example - ML Method: Mean of a Gaussian
Parameter Estimation - Least Squares
Hypotheses Testing
Confidence Intervals
Poisson Confidence Intervals
Gaussian Confidence Intervals
Compute the bayesian upper limit for a gaussian near the physical boundary
Compute the bayesian upper limit for a Poisson near the physical boundary
Feldman-Cousins confidence cnterval construction for a single Poisson, with known background and unknown signal
Interactive Example - Upper Limit
Multivariate Analysis Methods
Appendices
Histograms
Bibliography
Exercises
Exercises on Histograms
Exercises on Probability
Exercises on Probability Density Functions
Exercises on Covariance and Correlation
Index
