Teacher: TBA

The course will give a comparative overview of various concepts of probability, statistical inference, and data analysis. There will be a focus on the connection between statistical models and data in the real world, the role of model assumptions for analysing data, the limitations of objectivity and the necessity of judgment and subjective decision.

Content:

• Mathematical models and reality
• Frequentist interpretation of probability
• Frequentist inference: Tests and confidence intervals
• Epistemic probability, objectivist and subjectivist
• Bayesian inverse probability vs. compatibility logic
• Violations of model assumptions in data analysis and robustness