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Statistics and Data Analysis (HEP)

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The Dark Arts:

• Bayesian inference

• Credible intervals

• Systematics uncertainties

Statistics and Data Analysis (HEP)

Prof. dr hab. Elżbieta Richter-Wąs

Follow the course/slides from M. A. Thomson lectures at Cambridge University

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Parameter Estimation Revisited

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Conditional Probabilities and Bayes’ Theory

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Applying Bayes’ Theorem

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The Problem with Applying Bayes’ Theorem

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Choice of Prior, example I

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Choice of Prior, example II

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Bayesian Credible Intervals

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Bayesian Credible Intervals - example

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Likelihood Ordering

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C.I. vs C. L.

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A Few words on Systematics Uncertainties

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Estimating Systematics Uncertainties

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Incorporating Systematics into Fits

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Incorporating Systematics into Fits

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Appendix: Choice of Prior, example III

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