<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The aim of this research was to study a nonparametric estimator of the density and mode function of a scalar response variable given a functional variable, when the observations are i.i.d. This proposed estimator is given by combining Missing At Random (MAR) with the local linear approach. Finally, a comparison study based on simulated data is also provided to illustrate the finite sample performances and the usefulness of the local linear approach with MAR to the presence of even a small proportion of outliers in the data.</p>
</abstract>

The aim of this research was to study a nonparametric estimator of the density and mode function of a scalar response variable given a functional variable, when the observations are i.i.d. This proposed estimator is given by combining Missing At Random (MAR) with the local linear approach. Finally, a comparison study based on simulated data is also provided to illustrate the finite sample performances and the usefulness of the local linear approach with MAR to the presence of even a small proportion of outliers in the data.

The Estimating of the Conditional Density with Application to the Mode Function in Scalar-On-Function Regression Structure: Local Linear Approach with Missing at Random

University Djillali LIABES of Sidi Bel Abbes

Econometrics

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

The aim of this research was to study a nonparametric estimator of the density and mode function of a scalar response variable given a functional variable,...

The Estimating of the Conditional Density with Application to the Mode Function in Scalar-On-Function Regression Structure: Local Linear Approach with Missing at Random

Publié en ligne: 30 mai 2023

Pages: 17 - 32

Reçu: 12 juil. 2022

Accepté: 26 mars 2023

DOI: https://doi.org/10.15611/eada.2023.1.02

Mots clés
functional data, local linear estimation, conditional mode function, functional non-parametric statistics

© 2023 Wahiba Bouabsa, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

The Estimating of the Conditional Density with Application to the Mode Function in Scalar-On-Function Regression Structure: Local Linear Approach with Missing at Random

Publié en ligne: 30 mai 2023

Pages: 17 - 32

Reçu: 12 juil. 2022

Accepté: 26 mars 2023

DOI: https://doi.org/10.15611/eada.2023.1.02

Mots clésfunctional data, local linear estimation, conditional mode function, functional non-parametric statistics

© 2023 Wahiba Bouabsa, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Mots clés
functional data, local linear estimation, conditional mode function, functional non-parametric statistics