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Estimating Varying Coefficients for Partial Differential Equation Models

文献类型：期刊论文

作者Zhang, Xinyu1,2; Cao, Jiguo3; Carroll, Raymond J.4,5
刊名BIOMETRICS
出版日期2017-09-01
卷号73期号:3页码:949-959
关键词B-splines Dynamical models Inverse problems LIDAR data Parameter cascading System identification
ISSN号0006-341X
DOI10.1111/biom.12646
英文摘要Partial differential equations (PDEs) are used to model complex dynamical systems in multiple dimensions, and their parameters often have important scientific interpretations. In some applications, PDE parameters are not constant but can change depending on the values of covariates, a feature that we call varying coefficients. We propose a parameter cascading method to estimate varying coefficients in PDE models from noisy data. Our estimates of the varying coefficients are shown to be consistent and asymptotically normally distributed. The performance of our method is evaluated by a simulation study and by an empirical study estimating three varying coefficients in a PDE model arising from LIDAR data.
WOS研究方向Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology ; Mathematics
语种英语
WOS记录号WOS:000411878000026
出版者WILEY
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26665]  
专题系统科学研究所
通讯作者Zhang, Xinyu
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Yunnan Univ Finance & Econ, Stat & Math Coll, Kunming 650221, Yunnan, Peoples R China
3.Simon Fraser Univ, Dept Stat & Actuarial Sci, Burnaby, BC V5A 1S6, Canada
4.Texas A&M Univ, Dept Stat, College Stn, TX 77843 USA
5.Univ Technol, Sch Math & Phys Sci, POB 123, Broadway, NSW 2007, Australia
推荐引用方式
GB/T 7714		 Zhang, Xinyu,Cao, Jiguo,Carroll, Raymond J.. Estimating Varying Coefficients for Partial Differential Equation Models[J]. BIOMETRICS,2017,73(3):949-959.
APA Zhang, Xinyu,Cao, Jiguo,&Carroll, Raymond J..(2017).Estimating Varying Coefficients for Partial Differential Equation Models.BIOMETRICS,73(3),949-959.
MLA Zhang, Xinyu,et al."Estimating Varying Coefficients for Partial Differential Equation Models".BIOMETRICS 73.3(2017):949-959.

入库方式： OAI收割

来源：数学与系统科学研究院

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