Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] aaus_v3_0.gz(2 Kbytes)|
|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_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 29(1983)163|
|Programming language: Fortran.|
|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.|
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.
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.
The limits are relative, depending on the available computer time.
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.
37 s (32 s CPU).
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