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PREDICTION BASED ON THE KENNEDY-O'HAGAN CALIBRATION MODEL: ASYMPTOTIC CONSISTENCY AND OTHER PROPERTIES
Tuo, Rui1; Wu, C. F. Jeff2
2018-04-01
发表期刊STATISTICA SINICA
ISSN1017-0405
卷号28期号:2页码:743-759
摘要Kennedy and O'Hagan (2001) propose a model for calibrating some unknown parameters in a computer model and estimating the discrepancy between the computer output and physical response. This model is known to have certain identifiability issues. Tuo and Wu (2016) show that there are examples for which the Kennedy-O'Hagan method renders unreasonable results in calibration. In spite of its unstable performance in calibration, the Kennedy-O'Hagan approach has a more robust behavior in predicting the physical response. In this work, we present some theoretical analysis to show the consistency of predictor based on their calibration model in the context of radial basis functions.
关键词Bayesian inference computer experiments kriging
DOI10.5705/ss.202016.0209
语种英语
资助项目National Center for Mathematics and Interdisciplinary Sciences in CAS ; NSFC[11501551] ; NSFC[11271355] ; NSFC[11671386] ; NSF[DMS 1564438]
WOS研究方向Mathematics
WOS类目Statistics & Probability
WOS记录号WOS:000450211500010
出版者STATISTICA SINICA
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/31719
专题系统科学研究所
通讯作者Tuo, Rui
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Georgia Inst Technol, Sch Ind & Syst Engn, Atlanta, GA 30332 USA
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Tuo, Rui,Wu, C. F. Jeff. PREDICTION BASED ON THE KENNEDY-O'HAGAN CALIBRATION MODEL: ASYMPTOTIC CONSISTENCY AND OTHER PROPERTIES[J]. STATISTICA SINICA,2018,28(2):743-759.
APA Tuo, Rui,&Wu, C. F. Jeff.(2018).PREDICTION BASED ON THE KENNEDY-O'HAGAN CALIBRATION MODEL: ASYMPTOTIC CONSISTENCY AND OTHER PROPERTIES.STATISTICA SINICA,28(2),743-759.
MLA Tuo, Rui,et al."PREDICTION BASED ON THE KENNEDY-O'HAGAN CALIBRATION MODEL: ASYMPTOTIC CONSISTENCY AND OTHER PROPERTIES".STATISTICA SINICA 28.2(2018):743-759.
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