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Comparison of theoretical formulae and bootstrap method for statistical error estimation of Feynman-α method
http://hdl.handle.net/2237/00028772
http://hdl.handle.net/2237/00028772ef98b724-25ea-48ce-bddf-52e93c603be8
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-11-13 | |||||
タイトル | ||||||
タイトル | Comparison of theoretical formulae and bootstrap method for statistical error estimation of Feynman-α method | |||||
言語 | en | |||||
著者 |
Endo, Tomohiro
× Endo, Tomohiro× Yamamoto, Akio |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Feynman-α method | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Statistical error | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Covariance | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Bootstrap method | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Prompt neutron decay constant | |||||
抄録 | ||||||
内容記述 | This paper discusses the statistical error of the variance-to-mean ratio, or the Y value in the Feynman-α method, from a single measurement of reactor noise. As a theoretical approach, two practical theoretical formulae are derived to estimate the statistical error of Y: one is based on the propagation of uncertainty with unbiased estimators for the third- and fourth-order central moments; the other is a simplified formula that reuses the Y value under the fundamental mode approximation, where the subcriticality is approximately less than 10,000 pcm. As a numerical approach, the bootstrap method is improved to efficiently estimate the correlations of Y between different counting gate widths, or covariance matrix ΣY, due to the bunching method. Through an actual reactor noise experiment at the Kyoto University Criticality Assembly, the statistical errors of Y using the theoretical formulae and the bootstrap method are validated by comparing the reference statistical errors that are estimated from the multiple experiments of reactor noise. Furthermore, the impact of ΣY on the statistical error of the prompt neutron decay constant α is numerically investigated. Consequently, in the case of this experimental analysis, it was confirmed that the bootstrap method with the correlations of Y seems to be slightly better from the viewpoint of the coverage probability of the estimated confidence intervals of α, although the fitting error method without the correlation of Y could be useful for the order estimation of the statistical error of α. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
内容記述 | ||||||
内容記述 | ファイル公開:2020-10-26 Available online 26 October 2018. | |||||
言語 | ja | |||||
内容記述タイプ | Other | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Elsevier | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1016/j.anucene.2018.10.032 | |||||
ISSN(print) | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0306-4549 | |||||
書誌情報 |
en : Annals of Nuclear Energy 巻 124, p. 606-615, 発行日 2019-02 |
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著者版フラグ | ||||||
値 | author |