Kernel density estimation for spatial processes: the L_1 theory
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 nonmixi...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2004
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| Online Access: | http://hdl.handle.net/20.500.11937/10233 |
| _version_ | 1848746176206077952 |
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| author | Hallin, M. Lu, Zudi Tran, L. |
| author_facet | Hallin, M. Lu, Zudi Tran, L. |
| author_sort | Hallin, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T06:29:05Z |
| format | Journal Article |
| id | curtin-20.500.11937-10233 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:29:05Z |
| publishDate | 2004 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-102332017-09-13T16:04:15Z Kernel density estimation for spatial processes: the L_1 theory Hallin, M. Lu, Zudi Tran, L. Spatial linear or nonlinear processes L1 theory Kernel density estimator Bandwidth 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. 2004 Journal Article http://hdl.handle.net/20.500.11937/10233 10.1016/S0047-259X(03)00060-5 Elsevier unknown |
| spellingShingle | Spatial linear or nonlinear processes L1 theory Kernel density estimator Bandwidth Hallin, M. Lu, Zudi Tran, L. Kernel density estimation for spatial processes: the L_1 theory |
| title | Kernel density estimation for spatial processes: the L_1 theory |
| title_full | Kernel density estimation for spatial processes: the L_1 theory |
| title_fullStr | Kernel density estimation for spatial processes: the L_1 theory |
| title_full_unstemmed | Kernel density estimation for spatial processes: the L_1 theory |
| title_short | Kernel density estimation for spatial processes: the L_1 theory |
| title_sort | kernel density estimation for spatial processes: the l_1 theory |
| topic | Spatial linear or nonlinear processes L1 theory Kernel density estimator Bandwidth |
| url | http://hdl.handle.net/20.500.11937/10233 |