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A nonparametric inverse probability weighted estimation for functional data with missing response data at random
Authors:Longbing Wang  Ruiyuan Cao  Jiang Du  Zhongzhan Zhang
Abstract:This paper considers the nonparametric inverse probability weighted estimation for functional data with missing response data at random. Under mild conditions, the asymptotic properties of the proposed estimation method are established. Based on the resampling method, the estimation of the asymptotic variance of the proposed estimator is obtained. Finally, the finite sample properties of the proposed estimation method are investigated via Monte Carlo simulation studies. A real data analysis is given to illustrate the use of the proposed method.
Keywords:Corresponding author    primary  62G05  secondary  62G20  Missing at random  Functional data analysis  Asymptotic normality  Kernel estimation  The resampling method
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