| 随机截断下PL 估计的强表示式以及密度函数的核估计 |
| |
| 引用本文： | 陈钰芬.随机截断下PL 估计的强表示式以及密度函数的核估计[J].浙江大学学报(理学版),1998,25(3):12-18. |
| |
| 作者姓名： | 陈钰芬 |
| |
| 作者单位： | 杭州大学数学与信息科学系 |
| |
| 摘 要： | 本文在随机左截断情形下, 研究了分布函数的乘积限估计(PL 估计) Fn 的一致强表示式, 对文献 4]
给出的强表示式的误差项的阶加以改进, 并用此强表示式研究了核密度估计fn(x)的渐近性质.对于渐
近最优窗宽的选择以及MSE 的阶, 得到与完全样本下相同的结果.
|
| 关 键 词： | PL 估计 强表示式 核密度估计 均方误差 最优窗宽选择 |
Strong Representation of the Product Limit Festimator and Kernel Density Estimation Via Strong Representation for Truncated Data |
| |
| Chen Yufen.Strong Representation of the Product Limit Festimator and Kernel Density Estimation Via Strong Representation for Truncated Data[J].Journal of Zhejiang University(Sciences Edition),1998,25(3):12-18. |
| |
| Authors: | Chen Yufen |
| |
| Institution: | (Department of Mathematics and I nformation Sciences of Hangzhou University , Hangzhou 310028) |
| |
| Abstract: | In this paper, a uniform strong representation is obtained for the product limit estimator n(x) under random left truncation data with improved error bounds. Then we study the asymptotic properties of the kernel density estimation via this strong representation. The asymptotic optimal bandwidth choice and the bound of the MSE are the same as those in complete sample case. |
| |
| Keywords: | PL estimator strong represtentation kernel density estimation mean squared error optimal bandwidth choice |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《浙江大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《浙江大学学报(理学版)》下载免费的PDF全文 |
