带有Berkson测量误差的非线性半参数模型的渐近性质

The Asymptotic Properties of Nonlinear Semiparametric Models With Berkson Measurement Errors

考虑了协变量带有Berkson测量误差的非线性半参数模型.采用核估计和最小距离方法给出了未知参数γ和未知函数g(.)的估计,证明了未知参数估计的相合性和渐近正态性,同时也给出未知函数估计的收敛速度.所得结果可以应用于生物工程,金融分析,网络工程等领域的数据处理.

Consider the nonlinear semiparametric model with berkson-type errors in covariables.By using the kernelestimation and the miniμm distance estimation,the estimators of the unknown parameter γ and the unknown function of g(·) are constructed.Consistency and asymptotic normality for the estimator of γ are obtained.At the same time,the convergence rate of the estimator of g(·) is achieved.The results obtained in the paper can be used to deal with the data processing in the fields such as biological engineering,...