Analytical error bars and RSD for neutron multiplicity counting
Abstract
This article derives the standard deviation of the moments of neutron multiplicity distributions for both random and (shift register) triggered counting gates by propagating the multinomial distribution of errors in the counting distribution. Exact and approximate analytical formulas for the singles, doubles, and triples error bars are given along with the corresponding RSD (relative standard deviation). These analytical formulas provide a simple way to analyze and predict error bars without needing empirical data or simulations. The comparison of these analytical error bars to actual measurement errors can reveal systematic errors that are not being accounted for in the modeling of the data.
 Authors:

 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Publication Date:
 Research Org.:
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1488768
 Alternate Identifier(s):
 OSTI ID: 1548149
 Report Number(s):
 LLNLJRNL747621
Journal ID: ISSN 01689002; 932365
 Grant/Contract Number:
 AC5207NA27344
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment
 Additional Journal Information:
 Journal Volume: 903; Journal Issue: C; Journal ID: ISSN 01689002
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; Neutron multiplicity counting; Signal triggered inspection; Randomly triggered inspection; Fast accidentals
Citation Formats
Prasad, M. K., Snyderman, N. J., and Verbeke, J. M. Analytical error bars and RSD for neutron multiplicity counting. United States: N. p., 2018.
Web. https://doi.org/10.1016/j.nima.2018.06.010.
Prasad, M. K., Snyderman, N. J., & Verbeke, J. M. Analytical error bars and RSD for neutron multiplicity counting. United States. https://doi.org/10.1016/j.nima.2018.06.010
Prasad, M. K., Snyderman, N. J., and Verbeke, J. M. Wed .
"Analytical error bars and RSD for neutron multiplicity counting". United States. https://doi.org/10.1016/j.nima.2018.06.010. https://www.osti.gov/servlets/purl/1488768.
@article{osti_1488768,
title = {Analytical error bars and RSD for neutron multiplicity counting},
author = {Prasad, M. K. and Snyderman, N. J. and Verbeke, J. M.},
abstractNote = {This article derives the standard deviation of the moments of neutron multiplicity distributions for both random and (shift register) triggered counting gates by propagating the multinomial distribution of errors in the counting distribution. Exact and approximate analytical formulas for the singles, doubles, and triples error bars are given along with the corresponding RSD (relative standard deviation). These analytical formulas provide a simple way to analyze and predict error bars without needing empirical data or simulations. The comparison of these analytical error bars to actual measurement errors can reveal systematic errors that are not being accounted for in the modeling of the data.},
doi = {10.1016/j.nima.2018.06.010},
journal = {Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment},
number = C,
volume = 903,
place = {United States},
year = {2018},
month = {6}
}
Web of Science
Figures / Tables:
Works referencing / citing this record:
Simulation of the Nondestructive Assay of ^{237} Np Using Active Neutron Multiplicity Counting
journal, September 2019
 Hua, Michael Y.; Goddard, Braden; Lloyd, Cody
 Nuclear Science and Engineering, Vol. 194, Issue 2