核实数据下非线性半参数EV模型的估计（英文）  

STATISTICAL ESTIMATION IN NONLINEAR SEMIPARAMETRIC EV MODELS WITH VALIDATION DATA

作　　者：肖燕婷[1,2] 田铮[1] 孙瑾[2] 

机构地区：[1]西北工业大学应用数学系,陕西西安710129 [2]西安理工大学应用数学系,陕西西安710054

出　　处：《数学杂志》2015年第5期1075-1085,共11页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(61303223;91120014)

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.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.

关 键 词：非线性半参数EV模型 核实数据 渐近正态性 

分 类 号：O212.7[理学—概率论与数理统计]