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arXiv:0907.1519 [math.ST]AbstractReferencesReviewsResources

Asymptotic normality of kernel estimates in a regression model for random fields

Mohamed El Machkouri, Radu Stoica

Published 2009-07-09Version 1

We establish the asymptotic normality of the regression estimator in a fixed-design setting when the errors are given by a field of dependent random variables. The result applies to martingale-difference or strongly mixing random fields. On this basis, a statistical test that can be applied to image analysis is also presented.

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