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arXiv · 2102.00058

Statistical Inference after Kernel Ridge Regression Imputation under item nonresponse

Hengfang Wang·Jae-Kwang Kim
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Abstract

Imputation is a popular technique for handling missing data. We consider a nonparametric approach to imputation using the kernel ridge regression technique and propose consistent variance estimation. The proposed variance estimator is based on a linearization approach which employs the entropy method to estimate the density ratio. The root-n consistency of the imputation estimator is established when a Sobolev space is utilized in the kernel ridge regression imputation, which enables us to develop the proposed variance estimator. Synthetic data experiments are presented to confirm our theory.

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Hengfang Wang, Jae-Kwang Kim. 2021-01-29. Statistical Inference after Kernel Ridge Regression Imputation under item nonresponse. https://arxiv.org/abs/2102.00058

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