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 Cover Image

Szacowanie gęstości warunkowej z wykorzystaniem modelu w strukturze regresji skalarnej na funkcji: lokalne podejście liniowe z losowym brakiem
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

Author(s): Wahiba Bouabsa
Subject(s): Socio-Economic Research
Published by: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Keywords: functional data; local linear estimation; conditional mode function; functional non-parametric statistics

Summary/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.

  • Issue Year: 27/2023
  • Issue No: 1
  • Page Range: 17-32
  • Page Count: 16
  • Language: English
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