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Kernel density estimation for spatial processes: the L-1 theory
Hallin, M; Lu, ZD; Tran, LT
2004
Source PublicationJOURNAL OF MULTIVARIATE ANALYSIS
ISSN0047-259X
Volume88Issue:1Pages:61-75
AbstractThe 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.
Keywordbandwidth kernel density estimator L-1 theory spatial linear or nonlinear processes
DOI10.1016/S0047-259X(03)00060-5
Language英语
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000187785400004
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/951
Collection中国科学院数学与系统科学研究院
Corresponding AuthorHallin, M
Affiliation1.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
Recommended Citation
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.
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