A NOTE ON THE BIAS AND CONSISTENCY OF THE JACKKNIFE VARIANCE ESTIMATOR IN STRATIFIED SAMPLES

M. BLOZNELIS

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A NOTE ON THE BIAS AND CONSISTENCY OF THE JACKKNIFE VARIANCE ESTIMATOR IN STRATIFIED SAMPLES

机译：关于分层样本中刀切方差估计器的偏差和一致性的注记

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摘要

Using the ANOVA decomposition, we obtain an explicit formula for the bias of the jackknife variance estimator in stratified samples drawn without replacement. For a wide class of asymptotically linear statistics, we show the consistency of the jackknife variance estimator and establish the asymptotic normality of their Studentized versions.

机译：使用ANOVA分解，我们获得了在不进行替换的分层样本中折刀方差估计量偏差的显式公式。对于一大类渐近线性统计量，我们显示了折刀方差估计量的一致性并建立了其学生化版本的渐近正态性。

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来源
《Statistics》 |2003年第6期|p.489-504|共16页
作者
M. BLOZNELIS;
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作者单位

Vilnius University, Naugarduko 24, LT-2006 Vilnius;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
hoeffding decomposition; jackknife variance estimation; stratified sample without replacement; efron-stein inequality; normal approximation;

机译：Hoeffding分解;折刀方差估计;分层样本而不替换;Efron-stein不等式;正态近似;

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机译：一种随机镶嵌分层采样设计方差的jackknife估计
2. General jackknife variance estimator for stratified sampling survey [J] . International mathematical forum . 2015,第8期

机译：用于分层抽样调查的通用折刀方差估计量
3. General jackknife variance estimator for stratified sampling survey [J] . International mathematical forum . 2015,第8期

机译：用于分层抽样调查的通用折刀方差估计量
4. Jackknifed variance estimators for simulation output analysis [C] . Winter Simulation Conference . 2015

机译：用于模拟输出分析的自定义方差估计器
5. On two topics with no bridge: Bridge sampling with dependent draws and bias of the multiple imputation variance estimator. [D] . Romero, Martin. 2003

机译：关于两个没有桥的主题：具有依赖绘图和多重插补方差估计量的偏差的桥采样。
6. Understanding the potential bias of variance components estimators when using genomic models [O] . Beatriz C. D. Cuyabano, A. Christian Sørensen, Peter Sørensen 2018

机译：使用基因组模型时了解方差分量估计量的潜在偏差
7. Consistency of the jackknife-after-bootstrap variance estimator for the bootstrap quantiles of a studentized statistic [O] . Lahiri, S. N. 2006

机译：自适应折叠后自相矛盾方差估计的一致性学生统计的bootstrap分位数
8. Jackknife Variance Estimator for Two Sample Linear Rank Statistics [R] . Shao, J. 1988

机译：两个样本线性秩统计的Jackknife方差估计

A NOTE ON THE BIAS AND CONSISTENCY OF THE JACKKNIFE VARIANCE ESTIMATOR IN STRATIFIED SAMPLES

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