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Local linear estimate for functional regression with missing data at random

Abbassia Benchiha, Zoulikha Kaid

Abstract



In this paper, we consider the problem of the co-variability analysis between a functional variable X and a scalar response variable Y which is not totally observed. We use the local linear approach to model this relationship by constructing a local linear estimator of the regression operator when missing data occur in the response variable. Asymptotic results, in term of the pointwise almost complete consistencies, is established for the constructed estimator.

Keywords


Almost complete convergence, Kernel method, Local linear method, Regression operator.

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