Smoothed average variance estimation for dimension reduction with functional data

Mètolidji Moquilas Raymond Affossogbe, Guy Martial Nkiet and Carlos Ogouyandjou

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 3, 806-829

Abstract: We propose an estimation method, named functional average variance estimation (FAVE), for estimating the EDR space in functional semiparametric regression model, based on kernel estimates of density and regression. Consistency results are then established for the estimator of the interest operator, and for the directions of EDR space. A simulation study that shows that the proposed approach performs better than traditional ones is presented.

Date: 2023
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DOI: 10.1080/03610926.2021.1931330

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