Simultaneous statistical analysis of large arrays of correlated neutron measurements
Abstract The problems due primarily to the limitations of modern computers, preventing adoption of modern methods for estimating neutron data in everyday practice and making it difficult to use the estimated data in applied programs, are discussed. Possible solutions of these problems are presented....
Ausführliche Beschreibung
Autor*in: |
Badikov, S. A. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2000 |
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Anmerkung: |
© Kluwer Academic/Plenum Publishers 2000 |
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Übergeordnetes Werk: |
Enthalten in: Atomic energy - Kluwer Academic Publishers-Plenum Publishers, 1992, 88(2000), 3 vom: März, Seite 200-205 |
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Übergeordnetes Werk: |
volume:88 ; year:2000 ; number:3 ; month:03 ; pages:200-205 |
Links: |
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DOI / URN: |
10.1007/BF02673160 |
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OLC206085265X |
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520 | |a Abstract The problems due primarily to the limitations of modern computers, preventing adoption of modern methods for estimating neutron data in everyday practice and making it difficult to use the estimated data in applied programs, are discussed. Possible solutions of these problems are presented. Specifically, an identity transformation of the statistical functional to be minimized is found: this transformation makes it possible to avoid the construction, storage, and numerical inversion of superlarge covariation matrices of measurement uncertainties. The transformation makes it possible to perform statistical analysis of an arbitrarily large number of measurements. An efficient method of parameterization of the cross sections of neutron reactions at high neutron energy is proposed. The method is based on the use of the Adler-Adler resonance formula for fitting the cross sections. The parameters in the formula in this case do not have a clear physical interpretation. The method makes it possible to decrease substantially the volume of information to be stored in estimated data files in ENDF-6 format. For three cross sections (total, fission, and radiative capture), the proposed parameterization is universal, and it makes it possible to represent the cross section in a single manner from the thermal point up to an arbitrarily high neutron energy. The results of this work are illustrated for estimation of the cross section of the $ reaction^{241} $Am (n,f). 1 figure, 1 table, 27 references. | ||
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700 | 1 | |a Rabotnov, N. S. |4 aut | |
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10.1007/BF02673160 doi (DE-627)OLC206085265X (DE-He213)BF02673160-p DE-627 ger DE-627 rakwb eng 530 VZ Badikov, S. A. verfasserin aut Simultaneous statistical analysis of large arrays of correlated neutron measurements 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 2000 Abstract The problems due primarily to the limitations of modern computers, preventing adoption of modern methods for estimating neutron data in everyday practice and making it difficult to use the estimated data in applied programs, are discussed. Possible solutions of these problems are presented. Specifically, an identity transformation of the statistical functional to be minimized is found: this transformation makes it possible to avoid the construction, storage, and numerical inversion of superlarge covariation matrices of measurement uncertainties. The transformation makes it possible to perform statistical analysis of an arbitrarily large number of measurements. An efficient method of parameterization of the cross sections of neutron reactions at high neutron energy is proposed. The method is based on the use of the Adler-Adler resonance formula for fitting the cross sections. The parameters in the formula in this case do not have a clear physical interpretation. The method makes it possible to decrease substantially the volume of information to be stored in estimated data files in ENDF-6 format. For three cross sections (total, fission, and radiative capture), the proposed parameterization is universal, and it makes it possible to represent the cross section in a single manner from the thermal point up to an arbitrarily high neutron energy. The results of this work are illustrated for estimation of the cross section of the $ reaction^{241} $Am (n,f). 1 figure, 1 table, 27 references. Radiative Capture Neutron Cross Section Neutron Data Fission Cross Section High Neutron Energy Gai, E. V. aut Rabotnov, N. S. aut Enthalten in Atomic energy Kluwer Academic Publishers-Plenum Publishers, 1992 88(2000), 3 vom: März, Seite 200-205 (DE-627)17102916X (DE-600)1142004-2 (DE-576)033040583 1063-4258 nnns volume:88 year:2000 number:3 month:03 pages:200-205 https://doi.org/10.1007/BF02673160 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_2014 AR 88 2000 3 03 200-205 |
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10.1007/BF02673160 doi (DE-627)OLC206085265X (DE-He213)BF02673160-p DE-627 ger DE-627 rakwb eng 530 VZ Badikov, S. A. verfasserin aut Simultaneous statistical analysis of large arrays of correlated neutron measurements 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 2000 Abstract The problems due primarily to the limitations of modern computers, preventing adoption of modern methods for estimating neutron data in everyday practice and making it difficult to use the estimated data in applied programs, are discussed. Possible solutions of these problems are presented. Specifically, an identity transformation of the statistical functional to be minimized is found: this transformation makes it possible to avoid the construction, storage, and numerical inversion of superlarge covariation matrices of measurement uncertainties. The transformation makes it possible to perform statistical analysis of an arbitrarily large number of measurements. An efficient method of parameterization of the cross sections of neutron reactions at high neutron energy is proposed. The method is based on the use of the Adler-Adler resonance formula for fitting the cross sections. The parameters in the formula in this case do not have a clear physical interpretation. The method makes it possible to decrease substantially the volume of information to be stored in estimated data files in ENDF-6 format. For three cross sections (total, fission, and radiative capture), the proposed parameterization is universal, and it makes it possible to represent the cross section in a single manner from the thermal point up to an arbitrarily high neutron energy. The results of this work are illustrated for estimation of the cross section of the $ reaction^{241} $Am (n,f). 1 figure, 1 table, 27 references. Radiative Capture Neutron Cross Section Neutron Data Fission Cross Section High Neutron Energy Gai, E. V. aut Rabotnov, N. S. aut Enthalten in Atomic energy Kluwer Academic Publishers-Plenum Publishers, 1992 88(2000), 3 vom: März, Seite 200-205 (DE-627)17102916X (DE-600)1142004-2 (DE-576)033040583 1063-4258 nnns volume:88 year:2000 number:3 month:03 pages:200-205 https://doi.org/10.1007/BF02673160 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_2014 AR 88 2000 3 03 200-205 |
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10.1007/BF02673160 doi (DE-627)OLC206085265X (DE-He213)BF02673160-p DE-627 ger DE-627 rakwb eng 530 VZ Badikov, S. A. verfasserin aut Simultaneous statistical analysis of large arrays of correlated neutron measurements 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 2000 Abstract The problems due primarily to the limitations of modern computers, preventing adoption of modern methods for estimating neutron data in everyday practice and making it difficult to use the estimated data in applied programs, are discussed. Possible solutions of these problems are presented. Specifically, an identity transformation of the statistical functional to be minimized is found: this transformation makes it possible to avoid the construction, storage, and numerical inversion of superlarge covariation matrices of measurement uncertainties. The transformation makes it possible to perform statistical analysis of an arbitrarily large number of measurements. An efficient method of parameterization of the cross sections of neutron reactions at high neutron energy is proposed. The method is based on the use of the Adler-Adler resonance formula for fitting the cross sections. The parameters in the formula in this case do not have a clear physical interpretation. The method makes it possible to decrease substantially the volume of information to be stored in estimated data files in ENDF-6 format. For three cross sections (total, fission, and radiative capture), the proposed parameterization is universal, and it makes it possible to represent the cross section in a single manner from the thermal point up to an arbitrarily high neutron energy. The results of this work are illustrated for estimation of the cross section of the $ reaction^{241} $Am (n,f). 1 figure, 1 table, 27 references. Radiative Capture Neutron Cross Section Neutron Data Fission Cross Section High Neutron Energy Gai, E. V. aut Rabotnov, N. S. aut Enthalten in Atomic energy Kluwer Academic Publishers-Plenum Publishers, 1992 88(2000), 3 vom: März, Seite 200-205 (DE-627)17102916X (DE-600)1142004-2 (DE-576)033040583 1063-4258 nnns volume:88 year:2000 number:3 month:03 pages:200-205 https://doi.org/10.1007/BF02673160 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_2014 AR 88 2000 3 03 200-205 |
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10.1007/BF02673160 doi (DE-627)OLC206085265X (DE-He213)BF02673160-p DE-627 ger DE-627 rakwb eng 530 VZ Badikov, S. A. verfasserin aut Simultaneous statistical analysis of large arrays of correlated neutron measurements 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 2000 Abstract The problems due primarily to the limitations of modern computers, preventing adoption of modern methods for estimating neutron data in everyday practice and making it difficult to use the estimated data in applied programs, are discussed. Possible solutions of these problems are presented. Specifically, an identity transformation of the statistical functional to be minimized is found: this transformation makes it possible to avoid the construction, storage, and numerical inversion of superlarge covariation matrices of measurement uncertainties. The transformation makes it possible to perform statistical analysis of an arbitrarily large number of measurements. An efficient method of parameterization of the cross sections of neutron reactions at high neutron energy is proposed. The method is based on the use of the Adler-Adler resonance formula for fitting the cross sections. The parameters in the formula in this case do not have a clear physical interpretation. The method makes it possible to decrease substantially the volume of information to be stored in estimated data files in ENDF-6 format. For three cross sections (total, fission, and radiative capture), the proposed parameterization is universal, and it makes it possible to represent the cross section in a single manner from the thermal point up to an arbitrarily high neutron energy. The results of this work are illustrated for estimation of the cross section of the $ reaction^{241} $Am (n,f). 1 figure, 1 table, 27 references. Radiative Capture Neutron Cross Section Neutron Data Fission Cross Section High Neutron Energy Gai, E. V. aut Rabotnov, N. S. aut Enthalten in Atomic energy Kluwer Academic Publishers-Plenum Publishers, 1992 88(2000), 3 vom: März, Seite 200-205 (DE-627)17102916X (DE-600)1142004-2 (DE-576)033040583 1063-4258 nnns volume:88 year:2000 number:3 month:03 pages:200-205 https://doi.org/10.1007/BF02673160 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_2014 AR 88 2000 3 03 200-205 |
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10.1007/BF02673160 doi (DE-627)OLC206085265X (DE-He213)BF02673160-p DE-627 ger DE-627 rakwb eng 530 VZ Badikov, S. A. verfasserin aut Simultaneous statistical analysis of large arrays of correlated neutron measurements 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 2000 Abstract The problems due primarily to the limitations of modern computers, preventing adoption of modern methods for estimating neutron data in everyday practice and making it difficult to use the estimated data in applied programs, are discussed. Possible solutions of these problems are presented. Specifically, an identity transformation of the statistical functional to be minimized is found: this transformation makes it possible to avoid the construction, storage, and numerical inversion of superlarge covariation matrices of measurement uncertainties. The transformation makes it possible to perform statistical analysis of an arbitrarily large number of measurements. An efficient method of parameterization of the cross sections of neutron reactions at high neutron energy is proposed. The method is based on the use of the Adler-Adler resonance formula for fitting the cross sections. The parameters in the formula in this case do not have a clear physical interpretation. The method makes it possible to decrease substantially the volume of information to be stored in estimated data files in ENDF-6 format. For three cross sections (total, fission, and radiative capture), the proposed parameterization is universal, and it makes it possible to represent the cross section in a single manner from the thermal point up to an arbitrarily high neutron energy. The results of this work are illustrated for estimation of the cross section of the $ reaction^{241} $Am (n,f). 1 figure, 1 table, 27 references. Radiative Capture Neutron Cross Section Neutron Data Fission Cross Section High Neutron Energy Gai, E. V. aut Rabotnov, N. S. aut Enthalten in Atomic energy Kluwer Academic Publishers-Plenum Publishers, 1992 88(2000), 3 vom: März, Seite 200-205 (DE-627)17102916X (DE-600)1142004-2 (DE-576)033040583 1063-4258 nnns volume:88 year:2000 number:3 month:03 pages:200-205 https://doi.org/10.1007/BF02673160 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_2014 AR 88 2000 3 03 200-205 |
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Abstract The problems due primarily to the limitations of modern computers, preventing adoption of modern methods for estimating neutron data in everyday practice and making it difficult to use the estimated data in applied programs, are discussed. Possible solutions of these problems are presented. Specifically, an identity transformation of the statistical functional to be minimized is found: this transformation makes it possible to avoid the construction, storage, and numerical inversion of superlarge covariation matrices of measurement uncertainties. The transformation makes it possible to perform statistical analysis of an arbitrarily large number of measurements. An efficient method of parameterization of the cross sections of neutron reactions at high neutron energy is proposed. The method is based on the use of the Adler-Adler resonance formula for fitting the cross sections. The parameters in the formula in this case do not have a clear physical interpretation. The method makes it possible to decrease substantially the volume of information to be stored in estimated data files in ENDF-6 format. For three cross sections (total, fission, and radiative capture), the proposed parameterization is universal, and it makes it possible to represent the cross section in a single manner from the thermal point up to an arbitrarily high neutron energy. The results of this work are illustrated for estimation of the cross section of the $ reaction^{241} $Am (n,f). 1 figure, 1 table, 27 references. © Kluwer Academic/Plenum Publishers 2000 |
abstractGer |
Abstract The problems due primarily to the limitations of modern computers, preventing adoption of modern methods for estimating neutron data in everyday practice and making it difficult to use the estimated data in applied programs, are discussed. Possible solutions of these problems are presented. Specifically, an identity transformation of the statistical functional to be minimized is found: this transformation makes it possible to avoid the construction, storage, and numerical inversion of superlarge covariation matrices of measurement uncertainties. The transformation makes it possible to perform statistical analysis of an arbitrarily large number of measurements. An efficient method of parameterization of the cross sections of neutron reactions at high neutron energy is proposed. The method is based on the use of the Adler-Adler resonance formula for fitting the cross sections. The parameters in the formula in this case do not have a clear physical interpretation. The method makes it possible to decrease substantially the volume of information to be stored in estimated data files in ENDF-6 format. For three cross sections (total, fission, and radiative capture), the proposed parameterization is universal, and it makes it possible to represent the cross section in a single manner from the thermal point up to an arbitrarily high neutron energy. The results of this work are illustrated for estimation of the cross section of the $ reaction^{241} $Am (n,f). 1 figure, 1 table, 27 references. © Kluwer Academic/Plenum Publishers 2000 |
abstract_unstemmed |
Abstract The problems due primarily to the limitations of modern computers, preventing adoption of modern methods for estimating neutron data in everyday practice and making it difficult to use the estimated data in applied programs, are discussed. Possible solutions of these problems are presented. Specifically, an identity transformation of the statistical functional to be minimized is found: this transformation makes it possible to avoid the construction, storage, and numerical inversion of superlarge covariation matrices of measurement uncertainties. The transformation makes it possible to perform statistical analysis of an arbitrarily large number of measurements. An efficient method of parameterization of the cross sections of neutron reactions at high neutron energy is proposed. The method is based on the use of the Adler-Adler resonance formula for fitting the cross sections. The parameters in the formula in this case do not have a clear physical interpretation. The method makes it possible to decrease substantially the volume of information to be stored in estimated data files in ENDF-6 format. For three cross sections (total, fission, and radiative capture), the proposed parameterization is universal, and it makes it possible to represent the cross section in a single manner from the thermal point up to an arbitrarily high neutron energy. The results of this work are illustrated for estimation of the cross section of the $ reaction^{241} $Am (n,f). 1 figure, 1 table, 27 references. © Kluwer Academic/Plenum Publishers 2000 |
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title_short |
Simultaneous statistical analysis of large arrays of correlated neutron measurements |
url |
https://doi.org/10.1007/BF02673160 |
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Gai, E. V. Rabotnov, N. S. |
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