Kernel density estimation for spatial processes: the L1 theory
Marc Hallin (),
Zudi Lu and
Lanh T. Tran
Journal of Multivariate Analysis, 2004, vol. 88, issue 1, 61-75
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.
Keywords: Bandwidth; Kernel; density; estimator; L1; theory; Spatial; linear; or; nonlinear; processes (search for similar items in EconPapers)
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Working Paper: Kernel density estimation for spatial processes: the L1 theory (2004)
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