# Exercises

## Basics of Bayesian statistics

- Checking the sum and product rules, and their consequences
- Radioactive lighthouse problem
- Exploring PDFs
- Bayesian Statistics for Physicists: Interactive Bayesian updating (coin flipping)
- Standard medical example by applying Bayesian rules of probability
- Error propagation using Bayesian methods

## Bayesian parameter estimation

- Revisiting parameter estimation in the bayesTALENT_intro notebook
- Parameter estimation example: fitting a straight line
- Linear algebra games including SVD for PCA
- Amplitude of a signal in the presence of background

## MCMC sampling

## Assigning probabilities

- Maximum Entropy for reconstructing a function from its moments
- Maximum entropy for deriving probability distributions