Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

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Manuscript Title: Counting a small number of radioactive atoms. Monte Carlo program. | ||

Authors: K.T. Ekholm, A.M. Aurela | ||

Program title: COUNTING FEW RADIOACTIVE ATOMS/3 | ||

Catalogue identifier: AAUS_v3_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 29(1983)163 | ||

Programming language: Fortran. | ||

Computer: DEC20. | ||

Operating system: TOPS-20. | ||

RAM: 26K words | ||

Word size: 36 | ||

Keywords: Nuclear physics, General experiment, Radioactive atoms, Small samples, Decays, Statistical analysis, Bayesian analysis, Monte carlo method. | ||

Classification: 17.4. | ||

Nature of problem:Determination of the posterior probability Pi that the rate of the production of specific radioactive atoms has been Ri (i = 1, ..., NR), assuming that the number of atoms is small (< 100) and the times of the pulses from the subsequent counting of decays are known. | ||

Solution method:The Bayesian statistical analysis is used. The integration of the probabilities of multiple branches of possibilities , which are typical of the Bayesian analysis, is carried out by a fast Monte Carlo method. | ||

Restrictions:The limits are relative, depending on the available computer time. | ||

Unusual features:Application of a Monte Carlo method to the simulation of the production and counting of a few radioactive atoms and to the empirical Bayesian analysis. | ||

Running time:37 s (32 s CPU). |

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