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Title of Journal: AStA Adv Stat Anal

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Abbravation: AStA Advances in Statistical Analysis

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Springer Berlin Heidelberg

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10.1007/s12665-013-2277-3

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1863-818X

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Asymptotic properties of the kernel estimate of sp

Authors: Sophie DaboNiang Zoulikha Kaid Ali Laksaci
Publish Date: 2014/08/10
Volume: 99, Issue: 2, Pages: 131-160
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Abstract

The kernel method estimator of the spatial modal regression for functional regressors is proposed We establish under some general mixing conditions the Lpconsistency and the asymptotic normality of the estimator The performance of the proposed estimator is illustrated in a real data applicationSo for all epsilon and mathbf j in mathcal J if widehatmathbfn is great enough then Pleft Wleft 1mathbf n xmathbf j right epsilon left sigma 2xwidehatmathbfn right 1/2right =0 Then Q 4=0 for widehatmathbfn great enough This yields the proof


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