Edgeworth expansion for the bivariate product-limit estimator

被引：0
|
作者：
Wang, QH
机构：
[1] Institute of Applied Mathematics, Chinese Academy of Science
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1997年 / 40卷 / 11期
基金：
中国博士后科学基金;
关键词：
random censorship; bivariate product limit estimator; Edgeworth expansion;
D O I：
10.1007/BF02931832
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let S(s, t) be the bivariate survival function. Let (S) over cap(n)(s, t) be the bivariate product limit estimator proposed by Campbell and Foldes. The one-term Edgeworth expansion for (S) over cap(n) (s, t) is established by expressing log (S) over cap(n)(s, t) - logS(s, t) as U-statistics, which admits one-term Edgeworth expansion plus some remainders with sufficient accuracy.
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页码：1136 / 1147
页数：12
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