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Kernel density estimation for random fields: TheL1 Theory
Authors:
Michel Carbon a;
Marc Hallin a;
Lanh Tat Tran a
| Affiliation: | a Universit de Lille, Universit de Bruxelles and Indiana University, |
DOI:
10.1080/10485259608832669
Publication Frequency:
8 issues per year
Subjects:
Mathematical Economics;
Mathematical Finance;
Medical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
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(English)
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Abstract
Kernel-type estimators of the multivariate density of stationary random fields indexed by multidimensional lattice points space are investigated. Sufficient conditions for kernel estimators to converge in L1 are obtained. The results are applicable to a large class of spatial processes.
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| Keywords: random field; L1 convergence; kernel; bandwidth |
| view references (33) : view citations |
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