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

Bouabsa Wahiba ()
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Bouabsa Wahiba: University Djillali LIABES of Sidi Bel Abbes, Sidi Bel Abbes, Algeria

Econometrics. Advances in Applied Data Analysis, 2023, vol. 27, issue 1, 17-32

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.

Keywords: functional data; local linear estimation; conditional mode function; functional non-parametric statistics (search for similar items in EconPapers)
JEL-codes: C13 C14 C15 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:eaiada:v:27:y:2023:i:1:p:17-32:n:2

DOI: 10.15611/eada.2023.1.02

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