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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_0
Distribution 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).