Open AccessAn introduction to Bayesian statistics for atomic physicists
Author(s) -
Martino Trassinelli
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1412/6/062008
Subject(s) - bayesian probability , bayesian statistics , bayes' theorem , context (archaeology) , probability and statistics , computer science , statistics , bayes factor , bayesian inference , mathematics , geography , archaeology
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.