核实数据下均值的估计
Mean-Value Estimation with Validation Data
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摘要: 文章研究基于替代与核实数据样本下总体均值的估计问题, 利用核权函数法定义了一个总体均值的估计量, 它包含了替代数据和核实数据两方面信息. 并证明了该估计量的渐进正态性, 同时给出估计量的收敛速度.Abstract: In this paper, the mean-value estimation problem with surrogate data and validation sampling is considered. A regression calibration kernel function is defined to incorporate the information contained in both surrogate variates and validation sampling. The proposed estimators are proved to be asymptotically normal and convergent rate.