Asymptotic normality of a nonparametric estimator of sample coverage

Asymptotic normality of a nonparametric estimator of sample coverage
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DOI:
10.1214/08-aos658
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发表时间:
2009-08
影响因子:
4.5
通讯作者:
Cun-Hui Zhang;Zhiyi Zhang
Cun-Hui Zhang;Zhiyi Zhang
中科院分区:
数学1区
文献类型:
--
作者:
Cun-Hui Zhang;Zhiyi Zhang

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本文建立了Good [Biometrica 40(1953)237-264]提出的样本覆盖率的非参数估计的渐近正态性的一个充要条件。这个新的充分必要条件扩展了渐近正态性的有效性超出了以前证明的情况。
This paper establishes a necessary and sufficient condition for the asymptotic normality of the nonparametric estimator of sample coverage proposed by Good [Biometrica 40 (1953) 237-264]. This new necessary and sufficient condition extends the validity of the asymptotic normality beyond the previously proven cases.