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Title: 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:
 [1];  [1];  [1]
  1. 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):
LLNL-JRNL-747621
Journal ID: ISSN 0168-9002; 932365
Grant/Contract Number:  
AC52-07NA27344
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 0168-9002
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}
}

Journal Article:

Citation Metrics:
Cited by: 1 work
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Figures / Tables:

Figure 1 Figure 1: Relative Standard Deviation $σ$$D$/$D$ on the doubles $D$.

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Works referencing / citing this record:

Simulation of the Nondestructive Assay of 237 Np Using Active Neutron Multiplicity Counting
journal, September 2019


    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.