| ON THE UNIFORM CONSISTENCY OF THEKAPLAN-MEIER ESTIMATOR UNDER HEAVY CENSORING |
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| 作者姓名： | ZHENGZUKANG |
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| 摘 要： | Let X,i.i.d. and Y1i. i.d. be two sequences of random variables with unknown distribution functions F(x) and G(y) respectively. X, are censored by Y1. In this paper we study the uniform consistency of the Kaplan-Meier estimator under the case ey=sup(t:F(t)＜1)＞to=sup(t2G(t)＜1) The sufficient condition is discussed.
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| 关 键 词： | 随机变量 分布函数 Kaplan-Meier评估 统一性 |
| 收稿时间： | 26 January 1995 |
On the uniform consistency of the kaplan-meier estimator under heavy censoring |
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| ZHENGZUKANG.ON THE UNIFORM CONSISTENCY OF THEKAPLAN-MEIER ESTIMATOR UNDER HEAVY CENSORING[J].Applied Mathematics A Journal of Chinese Universities,1997,12(1):33-38. |
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| Authors: | Zheng Zukang |
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| Institution: | (1) Department of Statictics and Operations Research, Fudan University, 200433, Shanghai |
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| Abstract: | Let X
ii.i.d. and Y
ii.i.d. be two sequences of random variables with unknown distribution functions F(x) and G(y) respectively. X
i are censored by Y
i. In this paper we study the uniform consistency of the Kaplan-Meier estimator under the case τF = sup(t:F(t)< 1) > τG = sup (t1G(t) < 1). The sufficient condition is discussed.
Supported by the National Science Foundation of China and Chinese Universities Doctoral Foundation. |
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| Keywords: | Keplan-Meier estimator uniform consistency martingales MR Subject Classification Primary 62G05 Csecondary 62N05 62F10 |
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