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A stochastic process approach to multilayer neutron detectors

Author

Listed:
  • Dragi Anevski
  • Richard Hall‐Wilton
  • Kalliopi Kanaki
  • Vladimir Pastukhov

Abstract

The sparsity of the isotope Helium‐3, ongoing since 2009, has initiated a new generation of neutron detectors. One particularly promising development line for detectors is the multilayer gaseous detector. In this paper, a stochastic process approach is used to determine the neutron energy from the additional data afforded by the multilayer nature of these novel detectors. The data from a multilayer detector consist of counts of the number of absorbed neutrons along the sequence of the detector's layers, in which the neutron absorption probability is unknown. We study the maximum likelihood estimator for the intensity and absorption probability and show its consistency and asymptotic normality, as the number of incoming neutrons goes to infinity. We combine these results with known results on the relation between the absorption probability and the wavelength to derive an estimator of the wavelength and to show its consistency and asymptotic normality.

Suggested Citation

  • Dragi Anevski & Richard Hall‐Wilton & Kalliopi Kanaki & Vladimir Pastukhov, 2019. "A stochastic process approach to multilayer neutron detectors," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 46(2), pages 621-635, June.
    • Handle: RePEc:bla:scjsta:v:46:y:2019:i:2:p:621-635
    DOI: 10.1111/sjos.12374
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