| 固定设计下半参函数关系模型参数估计的相合性 |
| |
| 引用本文： | 张燕,王惠亚,郑群珍,郭鹏江.固定设计下半参函数关系模型参数估计的相合性[J].纯粹数学与应用数学,2008,24(1):65-70. |
| |
| 作者姓名： | 张燕 王惠亚 郑群珍 郭鹏江 |
| |
| 作者单位： | 西北大学数学系,陕西,西安,710069;河南教育学院,河南,郑州,450014 |
| |
| 摘 要： | 对于固定设计下的半参数函数关系模型,利用广义最小二乘法和一般的非参数权估计方法,得出了未知参数和未知函数的估计.在一定条件下,证明了它们的强相合性及其p(≥2)阶平均相合性.
|
| 关 键 词： | 半参函数关系模型 固定设计 强相合性 平均相合性 |
| 文章编号： | 1008-5513(2008)01-0065-06 |
| 修稿时间： | 2006年3月10日 |
Consistency of class of estimators in semiparametric errors-in-variables model under fixed-designs |
| |
| ZHANG Yan,WANG Hui-ya,ZHENG Qun-zhen,GUO Peng-jiang.Consistency of class of estimators in semiparametric errors-in-variables model under fixed-designs[J].Pure and Applied Mathematics,2008,24(1):65-70. |
| |
| Authors: | ZHANG Yan WANG Hui-ya ZHENG Qun-zhen GUO Peng-jiang |
| |
| Institution: | ZHANG Yah WANG Hui-ya GUO Peng-jiang Department of Mathematics,Northwest University,Xi\'an 710069,China ZHENG Qun-zhen He\'nan Education College,Zhengzhou 450014,China |
| |
| Abstract: | This paper studies semiparametric errors-in-variables models under fixed-designs.The estimators of unknown parameters and function are derived by using the least squares and usual nonparametric weighted method.Under some conditions,it is shown that these estimators are strong consistency and p-th-mean consis- tency. |
| |
| Keywords: | semiparametric errors-in-variable models fixed-designs consistency mean consistency |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
