Partially Function Linear Error-in-Response Models with Validation Data

ZHANG Tao; MENG Jiafu; WANG Bin

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Partially Function Linear Error-in-Response Models with Validation Data

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This paper considers partial function linear models of the form Y =f X(t)β(t)dt + g(T) with Y measured with error.The authors propose an estimation procedure when the basis functions are data driven,such as with functional principal components.Estimators of β(t) and g(t) with the primary data and validation data are presented and some asymptotic results are given.Finite sample properties are investigated through some simulation study and a real data application.

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《系统科学与复杂性：英文版》 |2017年第3期|734-750|共17页
作者
ZHANG Tao; MENG Jiafu; WANG Bin;
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作者单位

School of Science, Guangxi University of Science and Technology, Liuzhou 545006, China;

Guangxi Colleges and Universities Key Laboratory of Mathematics and Statistical Model, Guilin 541004, China;

School of Science, Guangxi University of Science and Technology, Liuzhou 545006, China;

School of Science, Guilin University of Technology, Guilin 530001, China;

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Partially Function Linear Error-in-Response Models with Validation Data

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