| 竞争风险场合PL型估计的渐近正态性 |
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| 引用本文： | 刘萍,陈平. 竞争风险场合PL型估计的渐近正态性[J]. 东南大学学报(自然科学版), 2001, 31(6): 108-112 |
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| 作者姓名： | 刘萍 陈平 |
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| 作者单位： | 1. 南京航空航天大学数学系,南京,210016
2. 东南大学应用数学系,南京,210096 |
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| 摘 要： | 为了在竞争风险场合考虑生存函数（或分布函数）的估计问题，本文构造了竞争风险场合分布函数的乘积极限（PL）型估计。运用经验过程的逼近理论及Taylor展开方法，给出了估计在全直线上的弱一致收敛速度，并证明了估计的渐近正态性。
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| 关 键 词： | 竞争风险 乘积极限估计 一致收敛 渐近正态性 PL型估计 |
| 文章编号： | 1001-0505(2001)06-0108-05 |
Asymptotic Normality of PL-Type Estimator under Competing Risk Case |
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| Liu Ping Chen Ping. Asymptotic Normality of PL-Type Estimator under Competing Risk Case[J]. Journal of Southeast University(Natural Science Edition), 2001, 31(6): 108-112 |
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| Authors: | Liu Ping Chen Ping |
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| Affiliation: | Liu Ping 1 Chen Ping 2 |
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| Abstract: | In order to consider the estimator of survival function (or distribution function) under the competing risk case, the product limit estimator of a distribution function under competing risk case is introduced. The rate of weak uniform convergence of the PL type estimator over the whole line is given and asymptotic normality of the estimator is proved by the approximation of empirical process and Taylor expansion. |
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| Keywords: | non parametric statistics competing risk product limit estimator uniform convergence asymptotic normality |
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