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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.
Chamayou, J. M. F.. "On the measurement of the activity of a radioactive source and a related stochastic process.." Stochastica 5.3 (1981): 177-190. <http://eudml.org/doc/38968>.
@article{Chamayou1981, abstract = {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.}, author = {Chamayou, J. M. F.}, journal = {Stochastica}, keywords = {Procesos estocásticos; Radiactividad; Procesos de Poisson; Variables aleatorias; Estimación paramétrica}, language = {eng}, number = {3}, pages = {177-190}, title = {On the measurement of the activity of a radioactive source and a related stochastic process.}, url = {http://eudml.org/doc/38968}, volume = {5}, year = {1981}, }
TY - JOUR AU - Chamayou, J. M. F. TI - On the measurement of the activity of a radioactive source and a related stochastic process. JO - Stochastica PY - 1981 VL - 5 IS - 3 SP - 177 EP - 190 AB - 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. LA - eng KW - Procesos estocásticos; Radiactividad; Procesos de Poisson; Variables aleatorias; Estimación paramétrica UR - http://eudml.org/doc/38968 ER -