Year: 2022
Author: Chao Liu, Huiming Zhang, Jing Yan
Communications in Mathematical Research , Vol. 38 (2022), Iss. 1 : pp. 81–98
Abstract
Few studies focus on the application of functional data to the field of design-based survey sampling. In this paper, the scalar-on-function regression model-assisted method is proposed to estimate the finite population means with auxiliary functional data information. The functional principal component method is used for the estimation of functional linear regression model. Our proposed functional linear regression model-assisted (FLR-assisted) estimator is asymptotically design-unbiased, consistent under mild conditions. Simulation experiments and real data analysis show that the FLR-assisted estimators are more efficient than the Horvitz-Thompson estimators under different sampling designs.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2021-0056
Communications in Mathematical Research , Vol. 38 (2022), Iss. 1 : pp. 81–98
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Survey sampling semi-supervised inference model-assisted estimator Horvitz-Thompson estimator functional linear regression.
Author Details
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