Kernel density estimation for spatial processes: the L-1 theory

doi:10.1016/S0047-259X(03)00060-5

	Kernel density estimation for spatial processes: the L-1 theory
	Hallin, M ; Lu, ZD ; Tran, LT
刊名	JOURNAL OF MULTIVARIATE ANALYSIS
	2004
卷号	88 期号:1 页码:61-75
关键词	bandwidth kernel density estimator L-1 theory spatial linear or nonlinear processes
ISSN号	0047-259X
DOI	10.1016/S0047-259X(03)00060-5
英文摘要	The purpose of this paper is to investigate kernel density estimators for spatial processes with linear or nonlinear structures. Sufficient conditions for such estimators to converge in L-1 are obtained under extremely general, verifiable conditions. The results hold for mixing as well as for nonmixing processes. Potential applications include testing for spatial interaction, the spatial analysis of causality structures, the definition of leading/lagging sites, the construction of clusters of comoving sites, etc. (C) 2003 Elsevier Science (USA). All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000187785400004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/950]
专题	中国科学院数学与系统科学研究院
通讯作者	Hallin, M
作者单位	1.Free Univ Brussels, ISRO, B-1050 Brussels, Belgium 2.Free Univ Brussels, ECARES, B-1050 Brussels, Belgium 3.Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 5.Indiana Univ, Dept Math, Bloomington, IN 47405 USA
推荐引用方式 GB/T 7714	Hallin, M,Lu, ZD,Tran, LT. Kernel density estimation for spatial processes: the L-1 theory[J]. JOURNAL OF MULTIVARIATE ANALYSIS,2004,88(1):61-75.
APA	Hallin, M,Lu, ZD,&Tran, LT.(2004).Kernel density estimation for spatial processes: the L-1 theory.JOURNAL OF MULTIVARIATE ANALYSIS,88(1),61-75.
MLA	Hallin, M,et al."Kernel density estimation for spatial processes: the L-1 theory".JOURNAL OF MULTIVARIATE ANALYSIS 88.1(2004):61-75.