Single Functional Index Quantile Regression for Functional Data with Missing Data at Random

The primary goal of this research was to estimate the quantile of a conditional distribution using a semi-parametric approach in the presence of randomly missing data, where the predictor variable belongs to a semi-metric space. The authors assumed a single index structure to link the explanatory an...

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Bibliographic Details
Main Authors: Nadia Kadiri, Sanaà Dounya Mekki, Abbes Rabhi
Format: Article
Language:English
Published: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu 2023-02-01
Series:Ekonometria
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Online Access:https://journals.ue.wroc.pl/eada/article/view/1225
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Summary:The primary goal of this research was to estimate the quantile of a conditional distribution using a semi-parametric approach in the presence of randomly missing data, where the predictor variable belongs to a semi-metric space. The authors assumed a single index structure to link the explanatory and response variable. First, a kernel estimator was proposed for the conditional distribution function, assuming that the data were selected from a stationary process with missing data at random (MAR). By imposing certain general conditions, the study established the model’s uniform almost complete consistencies with convergence rates.
ISSN:2449-9994