部分线性度量误差模型(Partial linear measurement error model)是经典的部分线性模型的推广.在此模型中,我们假定解释变量含有度量误差.本文,我们把经验似然推广到部分线性度量误差模型,得到了非参数的Wilk’s定理.我们的方法可以用来构建置信区间(域),也可以用来检验.数值模拟表明,我们的方法在构建的置信区间长度以及覆盖率方面有很好的结果.
The partial linear measurement error model is an alternative to the classical partial linear model, in which we assume that the independent variables are subject to error. In this paper, we extend empirical likelihood to partial linear errors-in-variables model, a nonparametric version of Wilk's theorem is derived. Simulation study shows that our method performs well not only in the probability as well.