| 左截断右删失下乘积限过程的振动模的强极限定理 |
| |
| 引用本文： | 孙六全,周勇.左截断右删失下乘积限过程的振动模的强极限定理[J].数学学报,1998,41(5):1113-1120. |
| |
| 作者姓名： | 孙六全 周勇 |
| |
| 作者单位： | [1]北京大学概率统计系 [2]中国科学院应用数学研究所 |
| |
| 基金项目： | 高校博士点基金,国家自然科学基金 |
| |
| 摘 要： | 本文在左截断右删失模型下获得了乘积限过程和累积失效率过程的振动模和Ｌｉｐｓｃｈｉｔｚ－１２模的强一致收敛的精确速度．作为定理的应用，推导了各种核密度估计和失效率估计的强一致收敛的精确速度．
|
| 关 键 词： | 左截断右删失，振动模，乘积限过程，累积失效率过程，核估计 |
Strong Limit Theorems for Oscillation Moduli of PL Process under Truncation and Censorship |
| |
| Sun Liuquan.Strong Limit Theorems for Oscillation Moduli of PL Process under Truncation and Censorship[J].Acta Mathematica Sinica,1998,41(5):1113-1120. |
| |
| Authors: | Sun Liuquan |
| |
| Institution: | Sun Liuquan (Department of Probability and Statistics, Peking University, Beijing 100871, China) (Institute Applied Mathematics, Academia Sinica, Beijing 100080, China) Zhou Yong (Institute Applied Mathematics, Academia Sinica, Beijing 100 |
| |
| Abstract: | In this paper we obtain exact rates of uniform convergence for oscillation moduli and Lipschitz-12 moduli of PL process and cumulative hazard process when the data are subject to left truncation and right censorship. Based on these results the exactrates of uniform convergence for various types of density and hazard function estimators are derived. |
| |
| Keywords: | Truncation and censorship Oscillation modulus PL process Cumulative hazard process Kernel estimator |
| 本文献已被 CNKI 维普 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》下载免费的PDF全文 |
