Bayesian estimation of the relative deviations between activities in the radionuclide standardization

Authors

  • Fabio Ludolf Cacais SEENS / Instituto de Radioproteção e Dosimetria
  • José Ubiratan Delgado LNMRI / IRD-CNEN
  • Victor Manuel Loayza Inmetro / Dimci-Lamas
  • Johnny Almeida Rangel LNMRI / IRD-CNEN

DOI:

https://doi.org/10.15392/bjrs.v7i3B.879

Keywords:

Radionuclide metrology, Radioactive source preparation, Bayesian statistic

Abstract

The dissemination of the activity is performed from radionuclide sources prepared in a sequence of dilutions and weighing methods. In this process, the activity of the source can be estimated statistically from the deposited mass and the activity concentration of the master solution. After preparation, the activity is obtained from absolute or relative measurement methods. However, the methods of activity determinations used may not fulfill the necessary independence of the conventional statistical approach due to the presence of possible correlations between activities that arise with the use of the same standardized sources or with the same method of quantity measurements. In this paper, Bayesian estimates for the relative deviation of activities and their uncertainty were obtained in order to evaluate the performance of the main sources’ preparation method. The estimate result (0.55 ± 0.27) % for a data set of radionuclide standardization performed between 2017 and 2018 at LNMRI, although close to zero, shows one should investigate possible effects affecting the preparation and measurement of the sources. This Bayesian estimate was validated by monte carlo simulation method.

Downloads

Download data is not yet available.

References

CHRISTMAS, P. Traceability in radionuclide metrology. Nucl. Instrum. Methods Physics. Res. vol. 223, p. 427–434, 1984.

CACAIS, F, et al. Validação da incerteza de pesagens no preparo de padrões de radionuclídeos por método de monte carlo, CBMRI, 2016. Available at: < http://media.2018.cbmri.org.br/media/uploads/s/facacais@gmail.com_1537223354_318198.pdf> Last accessed: 19 Feb. 2019.

SIBBENS, G.; ALTZITZOGLOU, T. Preparation of radioactive sources for radionuclide metrology. Metrologia, vol. 44, p. S71–S78, 2007.

LOURENÇO, V.; BOBIN, C. Weighing uncertainties in quantitative source preparation for radionuclide metrology. Metrologia, vol. 52, p. S18–S29, 2015.

VERDEAU, E. Metrological references for nuclear measurements provided by LNE-LNHB to users through a strict traceability chain, IEEE - 1st International Conference on Advancements in Nuclear Instrumentation, Measurement Methods and their Applications, 2009.

COX, M. G. The evaluation of key comparison data. Metrologia, vol. 39, p. 589–595, 2002.

JCGM, BIPM, IEC, IFCC, ILAC, ISO, IUPAC, IUPAP and OIML 2008 Guide to the Expression of Uncertainty in Measurement (GUM:1995 with Minor Corrections) JCGM 100:2008 (Sèvres: Bureau International des Poids et Mesures).

JCGM. Evaluation of Measurement Data—Supplement 1 to the ‘Guide to the Expression of Uncertainty in Measurement’—Propagation of Distributions using a Monte Carlo Method JCGM 101:2008 (Sèvres: Bureau International des Poids et Mesures).

KOCH, K. Introduction to Bayesian Statistics, 2ª ed., Berlin, Springer, 2007.

LIRA, I; KYRIAZIS, G. Bayesian inference from measurement information. Metrologia, vol. 36, p. 163–169, 1999.

MIGON, H. Statistical Inference: an Integrated Approach, 1ª ed., London, Oxford University Press, 1999.

WUBBELER, G., et al. Maintaining consensus for the redefined kilogram. 2018. Available at: < https://iopscience.iop.org/0026-1394/55/5/722/media/METaadb6b_Suppdata.pdf>. Last accessed: 19 Feb. 2019.

MEYER, P. Probabilidade Aplicações à Estatística, 2ª ed., Rio de Janeiro, LTC, 1987.

Downloads

Published

2019-10-24

How to Cite

Cacais, F. L., Delgado, J. U., Loayza, V. M., & Rangel, J. A. (2019). Bayesian estimation of the relative deviations between activities in the radionuclide standardization. Brazilian Journal of Radiation Sciences, 7(3B (Suppl.). https://doi.org/10.15392/bjrs.v7i3B.879

Issue

Section

Congresso Brasileiro de Metrologia das Radiações Ionizantes - CBMRI 2018

Most read articles by the same author(s)

1 2 > >>