An introduction to Bayesian statistics for atomic physicists

We present an introduction to some concepts of Bayesian data analysis in the context of atomic physics. Starting from basic rules of probability, we present the Bayes' theorem and its applications. In particular we discuss about the limits of classic statistics methods and in which cases a Baye...

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Bibliographic Details
Published in:Journal of physics. Conference series 2020-01, Vol.1412 (6), p.62008
Main Author: Trassinelli, M.
Format: Article
Language:English
Subjects:
Atomic Physics
Bayesian analysis
Data analysis
Physicists
Physics
Statistical methods
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Summary:We present an introduction to some concepts of Bayesian data analysis in the context of atomic physics. Starting from basic rules of probability, we present the Bayes' theorem and its applications. In particular we discuss about the limits of classic statistics methods and in which cases a Bayesian analysis is mandatory. Moreover, we show how probability values can be assigned to different possible models (different numbers of peaks, type peak profile, etc.) from the analysis of experimental data.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1412/6/062008