Kernel density estimation for spatial processes : The L1 theory

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

62 Scopus Citations
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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)61-75
Journal / PublicationJournal of Multivariate Analysis
Volume88
Issue number1
Publication statusPublished - Jan 2004
Externally publishedYes

Abstract

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 L1 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. © 2003 Elsevier Science (USA). All rights reserved.

Research Area(s)

  • Bandwidth, Kernel density estimator, L1 theory, Spatial linear or nonlinear processes

Bibliographic Note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Citation Format(s)

Kernel density estimation for spatial processes: The L1 theory. / Hallin, Marc; Lu, Zudi; Tran, Lanh T.
In: Journal of Multivariate Analysis, Vol. 88, No. 1, 01.2004, p. 61-75.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review