Efficient statistical inference for partially nonlinear errors-in-variables models

被引：0
|
作者：
San Ying Feng
Gao Rong Li
Jun Hua Zhang
机构：
[1] Beijing University of Technology,College of Applied Sciences
[2] Beijing Information Science and Technology University,College of Mechanical Engineering
来源：
Acta Mathematica Sinica, English Series | 2014年 / 30卷
关键词：
Partially nonlinear errors-in-variables model; measurement error; ordinary smooth; profile nonlinear least squares; asymptotic property; 62J02; 62E20;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we consider the partially nonlinear errors-in-variables models when the nonparametric component is measured with additive error. The profile nonlinear least squares estimator of unknown parameter and the estimator of nonparametric component are constructed, and their asymptotic properties are derived under general assumptions. Finite sample performances of the proposed statistical inference procedures are illustrated by Monte Carlo simulation studies.
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页码：1606 / 1620
页数：14
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