Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1152159 | Statistics & Probability Letters | 2013 | 12 Pages |
Abstract
We consider the estimation of nonparametric regression models with the explanatory variable being measured with Berkson errors or with a mixture of Berkson and classical errors. By constructing a compact operator, the regression function is the solution of an ill-posed inverse problem, and we propose an estimation procedure based on Tikhonov regularization. Under mild conditions, the convergence rate of proposed estimator is derived. The finite-sample properties of the estimator are investigated through simulation studies.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Zanhua Yin, Wei Gao, Man-Lai Tang, Guo-Liang Tian,