Bayesian data analysis tools for atomic physics

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS

卷:408

Article; Proceedings Paper

Trassinelli, Martino¹ 

[1] UPMC Univ Paris 06, Sorbonne Univ, CNRS, Inst NanoSci Paris, F-75005 Paris, France

关键词: Bayesian data analysis;    Atomic physics;    Nested sampling;    Model testing;   

DOI  :  10.1016/j.nimb.2017.05.030

来源: Elsevier

【 摘 要 】

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 how to calculate simple and joint probability distributions and the Bayesian evidence, a model dependent quantity that allows to assign probabilities to different hypotheses from the analysis of a same data set. To give some practical examples, these methods are applied to two concrete cases. In the first example, the presence or not of a satellite line in an atomic spectrum is investigated. In the second example, we determine the most probable model among a set of possible profiles from the analysis of a statistically poor spectrum. We show also how to calculate the probability distribution of the main spectral component without having to determine uniquely the spectrum modeling. For these two studies, we implement the program Nested_fit to calculate the different probability distributions and other related quantities. Nested_fit is a Fortran90/Python code developed during the last years for analysis of atomic spectra. As indicated by the name, it is based on the nested algorithm, which is presented in details together with the program itself. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free