Accounting for the reference data correlation when determining the calculation error using the maximum likelihood method

IF 0.4 4区 工程技术 Q4 NUCLEAR SCIENCE & TECHNOLOGY Atomic Energy Pub Date : 2024-07-11 DOI:10.1007/s10512-024-01104-9
A. M. Degtyarev, O. A. Seryanina
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Abstract

Given the assumption of normal distribution, the determination of the calculation error for the correlation of the initial reference data is considered. In this case, it is proposed to use the maximum likelihood method with a non-diagonal covariance matrix. The relationship of calculation deviations from the reference data is assumed to be described by known correlation coefficients. Techniques for constructing the average value, error variance, and distribution of its probability are described. The determination of the correlation coefficient for keff is considered using two consecutive campaigns of the PIK reactor. Possible directions for future modification of the methodology are discussed.

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在使用最大似然法确定计算误差时考虑参考数据的相关性
在正态分布假设下,考虑了如何确定初始参考数据相关性的计算误差。在这种情况下,建议使用具有非对角协方差矩阵的最大似然法。计算偏离参考数据的关系假定由已知的相关系数来描述。描述了构建平均值、误差方差及其概率分布的技术。利用 PIK 反应堆的两次连续运行,考虑了 keff 相关系数的确定。讨论了今后修改该方法的可能方向。
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来源期刊
Atomic Energy
Atomic Energy 工程技术-核科学技术
CiteScore
1.00
自引率
20.00%
发文量
100
审稿时长
4-8 weeks
期刊介绍: Atomic Energy publishes papers and review articles dealing with the latest developments in the peaceful uses of atomic energy. Topics include nuclear chemistry and physics, plasma physics, accelerator characteristics, reactor economics and engineering, applications of isotopes, and radiation monitoring and safety.
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