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

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

CSpace

	Kernel density estimation for spatial processes: the L-1 theory
	Hallin, M ; Lu, ZD ; Tran, LT
	2004
发表期刊	JOURNAL OF MULTIVARIATE ANALYSIS
ISSN	0047-259X
卷号	88 期号:1 页码:61-75
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.
关键词	bandwidth kernel density estimator L-1 theory spatial linear or nonlinear processes
DOI	10.1016/S0047-259X(03)00060-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000187785400004
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/951
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.