Data Analysis and Machine Learning: Elements of Bayesian theory
Contents
What is Bayesian Statistics
Inference
Statistical Inference
Some history
The Bayesian recipe
Bayes' theorem
The friends of Bayes' theorem
Inference With Parametric Models
Illustrative examples with python code
Example: Is this a fair coin?
A few words on different priors
Bayesian parameter estimation (single parameter)
Example: Measured flux from a star
Simple Photon Counts: Frequentist Approach
Simple Photon Counts: Bayesian Approach
A note about priors
Simple Photon Counts: Bayesian approach in practice
Best estimates and confidence intervals
Simple Photon Counts: Best estimates and confidence intervals
Bayesian parameter estimation (multiple parameters, covariance)
Bayesian model selection
What is Bayesian Statistics
Morten's original plan: Reminder about probabilities from the statistics section
Product rule
Binomial distribution
Gaussian PDF
other PDFs
Bayesian regression analysis
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