BAHADUR-KIEFER THEOREMS FOR KERNEL SMOOTH PRODUCT-LIMIT QUANTILE ESTIMATOR

被引：0
|
作者：
ZHOU, Y [1 ]
机构：
[1] BEIJING UNIV,DEPT PROBABIL & STAT,BEIJING 100871,PEOPLES R CHINA
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1995年 / 24卷 / 11期
关键词：
BAHADUR REPRESENTATION; PRODUCT-LIMIT ESTIMATOR; SMOOTH PL QUANTILE ESTIMATOR AND RANDOM CENSORSHIP;
D O I：
暂无
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The smooth PL quantile estimator is proposed and the analog of Bahadur-Kiefer type process is constructed based on the PL estimator and the smooth PL quantile estimator when the data are subject to censorship. Pointwise and uniform strong limit theorems for this process are established. The theorems are sharp and give the exact convergent rates of Bahadur type representation for the smooth PL quantile estimator.
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页码：2815 / 2828
页数：14
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