Application of Bayesian Reasoning and the Maximum Entropy Method to Some Reconstruction Problems

• Authors: K. Fornalski , G. Parzych , M. Pylak , D. Satuła , L. Dobrzyński
• Languages of publication: EN

Abstracts

EN

The so-called Bayesian reasoning is applied whenever uncertainty has to be considered as serious factor in interpretation of results. The paper presents analysis of the impact of inaccurate data on the straight line and quadratic relation fittings. This type of analysis is particularly important when one tries to decide on the type of dependence. The paper also shows examples of the Maximum Entropy Methods applied to the reconstruction of the hyperfine parameters distribution from the measured Mössbauer spectra of GaFeO_{3} and the electron-positron momentum distribution from the positron annihilation data of Gd.

Keywords

EN

29.85.-c; 78.70.Bj; 76.80.+y

Discipline

• 78.70.Bj: Positron annihilation(for positron states, see 71.60.+z in electronic structure of bulk materials; for positronium chemistry, see 82.30.Gg in physical chemistry and chemical physics)
• 76.80.+y: Mössbauer effect; other γ-ray spectroscopy(see also 33.45.+x Mössbauer spectra—in atomic and molecular physics; for biophysical applications, see 87.64.kx; for chemical analysis applications, see 82.80.Ej)
• 29.85.-c: Computer data analysis

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2010
• Volume: 117
• Issue: 6
• Pages: 892-899

Dates

published

2010-06

received

2010-01-29

(unknown)

2010-03-09

Contributors

author

K. Fornalski

• The Andrzej Sołtan Institute for Nuclear Studies, 05-400 Otwock-Świerk, Poland

author

G. Parzych

• The Andrzej Sołtan Institute for Nuclear Studies, 05-400 Otwock-Świerk, Poland

author

M. Pylak

• The Andrzej Sołtan Institute for Nuclear Studies, 05-400 Otwock-Świerk, Poland

author

D. Satuła

• Faculty of Physics, University of Białystok, Lipowa 41, 15-424 Białystok, Poland

author

L. Dobrzyński

• The Andrzej Sołtan Institute for Nuclear Studies, 05-400 Otwock-Świerk, Poland
• Faculty of Physics, University of Białystok, Lipowa 41, 15-424 Białystok, Poland

References

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Identifiers

DOI

10.12693/APhysPolA.117.892