A method is presented to compute the activity of a radioactive source. The principle of the method is based on the tuning of b, the time constant of the RC circuit of the detector with l being the rate of emission of the source, using a statistical argument.
The stochastical process involved refers to the distribution of the following random voltage:
Vt = ∑(0 < ti ≤ t) Yi c-b(t - ti)
where the ti are Poisson dates of emission and the Yi are random or deterministic pulse heights. The case of Yi gamma distributed is investigated. This method could replace a crude counting for the case of a very intense source where this kind of measurement would be delicate due to the problem of rapid data acquisition.
@article{urn:eudml:doc:38968,
title = {On the measurement of the activity of a radioactive source and a related stochastic process.},
journal = {Stochastica},
volume = {5},
year = {1981},
pages = {177-190},
zbl = {0488.60056},
mrnumber = {MR0659249},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38968}
}
Chamayou, J. M. F. On the measurement of the activity of a radioactive source and a related stochastic process.. Stochastica, Tome 5 (1981) pp. 177-190. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38968/