| 核实数据下非线性半参数EV模型的估计 |
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| 引用本文： | 肖燕婷,田铮,孙瑾.核实数据下非线性半参数EV模型的估计[J].数学杂志,2015,35(5):1075-1085. |
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| 作者姓名： | 肖燕婷 田铮 孙瑾 |
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| 作者单位： | 西北工业大学应用数学系, 陕西 西安 710129;西安理工大学应用数学系, 陕西 西安 710054,西北工业大学应用数学系, 陕西 西安 710129,西安理工大学应用数学系, 陕西 西安 710054 |
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| 基金项目： | Supported by National Natural Science Foundation of China (61303223;91120014) |
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| 摘 要： | 本文研究了核实数据下的协变量带有测量误差的非线性半参数EV模型.在不假定测量误差结构的情形下,利用最小二乘方法和核光滑技术,构造了非线性函数中未知参数的两种估计,证明了未知参数估计的渐近正态性.通过数值模拟说明所提估计方法在有限样本下的有效性.
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| 关 键 词： | 非线性半参数EV模型 核实数据 渐近正态性 |
| 收稿时间： | 2014/3/27 0:00:00 |
| 修稿时间： | 2014/12/18 0:00:00 |
STATISTICAL ESTIMATION IN NONLINEAR SEMIPARAMETRIC EV MODELS WITH VALIDATION DATA |
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| XIAO Yan-ting,TIAN Zheng and SUN Jin.STATISTICAL ESTIMATION IN NONLINEAR SEMIPARAMETRIC EV MODELS WITH VALIDATION DATA[J].Journal of Mathematics,2015,35(5):1075-1085. |
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| Authors: | XIAO Yan-ting TIAN Zheng and SUN Jin |
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| Institution: | Department of Applied Mathematics, Northwestern Polytechnical University, Xi''an 710129, China;Department of Applied Mathematics, Xi''an University of Technology, Xi''an 710054, China,Department of Applied Mathematics, Northwestern Polytechnical University, Xi''an 710129, China and Department of Applied Mathematics, Xi''an University of Technology, Xi''an 710054, China |
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| Abstract: | In this paper, nonlinear semiparametric error-in-variables(EV) models are considered with validation data. Without specifying any error structure equation, two estimators for the parameter in the nonlinear function are proposed based on the least square method and the kernel smoothing technique. The obtained estimators are proved to be asymptotically normal. A simulation study is conducted to show the proposed estimation methods are valid in finite sample. |
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| Keywords: | nonlinear semiparametric EV model validation data asymptotic normality |
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