{"title":"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","authors":"A. M. Degtyarev, O. A. Seryanina","doi":"10.1007/s10512-024-01104-9","DOIUrl":null,"url":null,"abstract":"<div><p>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 <i>k</i><sub>eff</sub> is considered using two consecutive campaigns of the PIK reactor. Possible directions for future modification of the methodology are discussed.</p></div>","PeriodicalId":480,"journal":{"name":"Atomic Energy","volume":"135 3-4","pages":"218 - 223"},"PeriodicalIF":0.4000,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Accounting for the reference data correlation when determining the calculation error using the maximum likelihood method\",\"authors\":\"A. M. Degtyarev, O. A. Seryanina\",\"doi\":\"10.1007/s10512-024-01104-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>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 <i>k</i><sub>eff</sub> is considered using two consecutive campaigns of the PIK reactor. Possible directions for future modification of the methodology are discussed.</p></div>\",\"PeriodicalId\":480,\"journal\":{\"name\":\"Atomic Energy\",\"volume\":\"135 3-4\",\"pages\":\"218 - 223\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2024-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Atomic Energy\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10512-024-01104-9\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"NUCLEAR SCIENCE & TECHNOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Atomic Energy","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10512-024-01104-9","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"NUCLEAR SCIENCE & TECHNOLOGY","Score":null,"Total":0}
Accounting for the reference data correlation when determining the calculation error using the maximum likelihood method
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.
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.