English

Increased dose rate precision in combined $\alpha$ and $\beta$ counting in the $\mu$Dose system - a probabilistic approach to data analysis

Instrumentation and Detectors 2018-11-12 v1 Data Analysis, Statistics and Probability

Abstract

The μ\muDose system was developed to allow the measurement of environmental levels of natural radioactive isotopes. The system records α\alpha and β\beta particles along with four decay pairs arising from subsequent decays of 214^{214}Bi/214^{214}Po, 220^{220}Rn/216^{216}Po, 212^{212}Bi/212^{212}Po and 219^{219}Rn/215^{215}Po. Under the assumption of secular equilibrium this allows to assess the specific radioactivities of 238^{238}U, 235^{235}U, 232^{232}Th decay chains and 40^{40}K. This assessment provides results with uncertainties which are correlated and, thus, require the development of an error estimation methodology which considers this issue. Here we present two different approaches for uncertainty propagation based on Monte Carlo and Bayesian methods. Both approaches produce statistically indistinguishable results and allow significantly better dose rate precision than when the correlations are not accounted for. In the given example, the dose rate precision is improved by a factor of two.

Keywords

Cite

@article{arxiv.1811.03664,
  title  = {Increased dose rate precision in combined $\alpha$ and $\beta$ counting in the $\mu$Dose system - a probabilistic approach to data analysis},
  author = {Konrad Tudyka and Andrzej Bluszcz and Grzegorz Poręba and Sebastian Miłosz and Grzegorz Adamiec and Aleksander Kolarczyk and Thomas Kolb and Johanna Lomax and Markus Fuchs},
  journal= {arXiv preprint arXiv:1811.03664},
  year   = {2018}
}