| 污染线性模型的非参数估计 |
| |
| 引用本文： | 柴根象,孙燕,杨筱菡. 污染线性模型的非参数估计[J]. 高校应用数学学报(英文版), 2001, 16(2): 195-202. DOI: 10.1007/s11766-001-0027-x |
| |
| 作者姓名： | 柴根象 孙燕 杨筱菡 |
| |
| 作者单位： | Chai Genxiang Sun Yan Yang XiaohanDept.ofAppl.Math.,TongjiUniv.,Shanghai200092 |
| |
| 摘 要： | Abstract. In this paper, the following contaminated linear model is considered:
|
| 关 键 词： | 污染线性模型 非参数估计 强连贯性 数理统计 数学模型理论 |
Non-parametric estimation in contaminated linear model |
| |
| Chai Genxiang,Sun Yan,Yang Xiaohan. Non-parametric estimation in contaminated linear model[J]. Applied Mathematics A Journal of Chinese Universities, 2001, 16(2): 195-202. DOI: 10.1007/s11766-001-0027-x |
| |
| Authors: | Chai Genxiang Sun Yan Yang Xiaohan |
| |
| Affiliation: | (1) Dept. of Appl. Math., Tongji Univ., 200092 Shanghai |
| |
| Abstract: | In this paper, the following contaminated linear model is considered:  | (1) | , where r.v. 's {y i } are contaminated with errors {z i }. To assume that the errors have the finite moment of order 2 only. The non-parametric estimation of contaminated coefficient ε and regression parameter β are established, and the strong consistency and convergence rate almost surely of the estimators are obtained. A simulated example is also given to show the visual performance of the estimations. |
| |
| Keywords: | Contaminated data non parametric estimation strong consistency convergence rate almost surely. |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
