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Local Linear Least Squares Kernel Regression for Linear and Circular Predictors |
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| Authors: | Xu Qin Jiang-She Zhang Xiao-Dong Yan |
| Affiliation: | 1. Faculty of Science, State Key Laboratory for Manufacturing Systems Engineering , Xi'an Jiaotong University , Xi'an , P.R. China jiayouxuxu@gmail.com;3. Faculty of Science, State Key Laboratory for Manufacturing Systems Engineering , Xi'an Jiaotong University , Xi'an , P.R. China;4. Key Laboratory of Regional Climate-Environment Research for Temperature East Asia , Institute of Atmospheric Physics, Chinese Academy of Science , Beijing , P.R. China |
| Abstract: | We extend nonparametric regression models with local linear least squares fitting using kernel weights to the case of linear and circular predictors. We derive the asymptotic properties of the conditional bias and variance of bivariate local linear least squares kernel estimators. A small simulation study and a real experiment are given. |
| Keywords: | Circular variable Kernel Least squares fitting Nonparametric regression |