Model-Assisted Estimators with Auxiliary Functional Data

• 作者: Chao Liu Huiming Zhang Jing Yan
• 来源期刊: 数学研究通讯
• 年，卷（期）: 2022,（1）
• 页码范围: 81-98
• 页数: 18页
• 语种: 英文
• DOI: 10.4208/cmr.2021-0056

摘要

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 compo-nent method is used for the estimation of functional linear regression model.Our proposed functional linear regression model-assisted(FLR-assisted)es-timator is asymptotically design-unbiased,consistent under mild conditions.Simulation experiments and real data analysis show that the FLR-assisted esti-mators are more efficient than the Horvitz-Thompson estimators under differ-ent sampling designs.