| 摘要: |
| 讨论固定设计下,局部线性核估计内部和外界地区的渐近性质.固定设计下回归函数局部线性核估计具有自适应性,在内部地区和外界地区具有相同的收敛速度. |
| 关键词: 固定设计 非参数回归 核估计 边界偏倚 |
| DOI： |
| 投稿时间：2011-11-22修订日期：2012-04-22 |
| 基金项目:广西教育厅科研项目(201106LX717)资助。 |
|
| Asymptotic Properties of Local Linear Kernel Estimator for Fixed Design |
|
WU Guo-lin1, CHEN Xiong-wei2
|
| (1.Department of Information Engineering, Guilin College of Aerospace Techology, Guilin, Guangxi, 541004, China;2.Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| Asymptotic properties of the local linear kernel estimator for fixed design were discussed in their interior and boundary regions. The properties show that this estimator is adaptive in the boundary regions and has the same convergence speed as that in internal areas. |
| Key words: fixed design nonparametric regression kernel estimator boundary bias |
