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Application of Bayesian analysis to indirect Fourier transformation in small‐angle scattering
Author(s) -
Vestergaard Bente,
Hansen Steen
Publication year - 2006
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889806035291
Subject(s) - scattering , bayesian probability , fourier transform , transformation (genetics) , small angle scattering , probability distribution , statistical physics , biological system , computer science , optics , physics , mathematics , statistics , chemistry , mathematical analysis , biochemistry , biology , gene
Using Bayesian analysis for indirect Fourier transformation (IFT) of data from small‐angle scattering (SAS) leads to probability distributions for parameters describing the experimental data. This quantification may provide extra information about the scattering system. The shape of the probability distribution for the maximum diameter of the scatterer may contain information about e.g. the heterogeneity of the scattering sample. The information content in the experimental data can be quantified as an `effective number of parameters' which can be determined from the data. The applicability of the Bayesian approach to IFT in SAS is demonstrated using simulated as well as experimental data.