MODERATE DEVIATIONS FOR A NONPARAMETRIC ESTIMATOR OF SAMPLE COVERAGE

被引:11
作者
Gao, Fuqing [1 ]
机构
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
基金
中国国家自然科学基金;
关键词
Sample coverage; moderate deviations; Good's estimator; RANDOM-VARIABLES; PROBABILITY; NUMBER;
D O I
10.1214/13-AOS1091
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
In this paper, we consider moderate deviations for Good's coverage estimator. The moderate deviation principle and the self-normalized moderate deviation principle for Good's coverage estimator are established. The results are also applied to the hypothesis testing problem and the confidence interval for the coverage.
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页码:641 / 669
页数:29
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