| 一类Kaplan-Meier估计泛函的一些大样本性质 |
| |
| 引用本文： | 王启华. 一类Kaplan-Meier估计泛函的一些大样本性质[J]. 数学学报, 1999, 42(2): 197-206. DOI: cnki:ISSN:0583-1431.0.1999-02-001 |
| |
| 作者姓名： | 王启华 |
| |
| 作者单位： | 北京大学概率统计系,北京,100871 |
| |
| 基金项目： | 中国博士后科研基金，国家自然科学基金 |
| |
| 摘 要： | 设F，G分别表示某寿命随机变量与删失随机变量的分布函数，在不假定F、G连续的情况下该文使用点过程鞅方法证明了Kaplan－Meier估计的一类泛函的渐近正态性，并建立了一个均方误差不等式和一个概率不等式．
|
| 关 键 词： | 点过程鞅 渐近正态 均方误差 概率不等式 |
| 修稿时间： | :1995-09-1 |
Some Large Sample Results for a Class of Functionals of Kaplan-Meter Estimator |
| |
| Wang Qihua. Some Large Sample Results for a Class of Functionals of Kaplan-Meter Estimator[J]. Acta Mathematica Sinica, 1999, 42(2): 197-206. DOI: cnki:ISSN:0583-1431.0.1999-02-001 |
| |
| Authors: | Wang Qihua |
| |
| Affiliation: | Wang Qihua;(Department of Probability and Statistics, Peking University, Beijing 100871, P. R. China) |
| |
| Abstract: | In this paper, a class of functionals of Kaplan-Meter estimator are investigated. Counting process martingale methods are used to show the asymptotic normality, and establish a mean square error inequality and a probability inequality ofthem without the assumption that F, G are continuous, where F, G are survival timedistribution and censoring time distribution respectively. |
| |
| Keywords: | Counting process Martingale Asymptotic normality Mean square error Probability inequality |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
|
点击此处可从《数学学报》下载全文 |
