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ASYMPTOTIC NORMALITY OF CONDITIONAL MODE ESTIMATION FOR FUNCTIONAL DEPENDENT DATA
Journal article   Peer reviewed

ASYMPTOTIC NORMALITY OF CONDITIONAL MODE ESTIMATION FOR FUNCTIONAL DEPENDENT DATA

Oussama Bouanani, Saadia Rahmani, Ali Laksaci and Mustapha Rachdi
Indian journal of pure and applied mathematics, Vol.51(2), pp.465-481
01/06/2020
DOI: https://doi.org/10.1007/s13226-020-0411-y

Abstract

Mathematics Physical Sciences Science & Technology
Based on the local polynomial smoother idea, we construct a local linear estimator of the conditional mode for dependent functional covariables. Precisely, observations are assumed to be a sequence of stationary alpha-mixing random variables. Then, we establish the asymptotic normality of the constructed estimator.

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