Właściwości asymptotyczne estymatorów półparametrycznych dla kwantyla warunkowego pojedynczego wskaźnika funkcjonalnego z losowymi brakami danych
Single Functional Index Quantile Regression for Functional Data with Missing Data at Random

Summary/Abstract: 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.

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