Berry-Esseen bounds for the percentile residual life function estimators

被引:0
|
作者
Zhao, Mu [1 ,2 ]
Jiang, Hongmei [1 ]
机构
[1] Northwestern Univ, Dept Stat, Evanston, IL 60208 USA
[2] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China
关键词
Berry-Esseen bound; Covering probability; Deficiency; Empirical estimator; Kernel estimator; Percentile residual life function; SAMPLE QUANTILE ESTIMATOR; RELATIVE DEFICIENCY; L-1-DEFICIENCY; RESPECT; THEOREM;
D O I
10.1016/j.spl.2015.05.009
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 Berry-Esseen bounds for two estimators of the percentile residual life function are established. The bound for the kernel estimator is shown sharper than in the previous work. The obtained bounds are applied to study the relative deficiency of the proposed estimators. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:133 / 140
页数:8
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