The Asymptotic Properties of Nonlinear Semiparametric Models With Berkson Measurement Errors

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,financial analysis and network engineering．