Estimating Varying Coefficients for Partial Differential Equation Models

doi:10.1111/biom.12646

CSpace > 系统科学研究所

	Estimating Varying Coefficients for Partial Differential Equation Models
	Zhang, Xinyu1,2 ; Cao, Jiguo 3; Carroll, Raymond J.4,5
	2017-09-01
发表期刊	BIOMETRICS
ISSN	0006-341X
卷号	73 期号:3 页码:949-959
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.
关键词	B-splines Dynamical models Inverse problems LIDAR data Parameter cascading System identification
DOI	10.1111/biom.12646
语种	英语
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology ; Mathematics
WOS类目	Biology ; Mathematical & Computational Biology ; Statistics & Probability
WOS记录号	WOS:000411878000026
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26666
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.