On the sum of the variances of the order statistics for samples of dependent observations

Borisov I. S.

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On the sum of the variances of the order statistics for samples of dependent observations

机译：关于从属观测值样本的阶次统计量的方差之和

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We study asymptotic behavior of the sum of the variancesof all order statistics based on samples of dependent observations whenthe sample size tends to infinity.

机译：当样本量趋于无穷大时，我们基于相关观测的样本研究所有阶次统计量方差之和的渐近行为。

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《Sibirskie elektronnye matematicheskie izvestiia: Siberian Electronic Mathematical Reports 》 |2014年第4期| 共6页
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Borisov I. S.;
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中图分类数学 ;
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1. Extreme variances of order statistics in dependent samples [J] . Rychlik T Statistics & Probability Letters . 2008 ,第12期

机译：相关样本中订单统计的极端方差
2. The Fundamental Relationship Between Sample Mass and Sampling Variance in Real Geological Samples and Corresponding Statistical Models [J] . C.R. Stanley Exploration and Mining Geology . 2007 ,第1a2期

机译：真实地质样品中样品质量与采样方差之间的基本关系及相应的统计模型
3. The Fundamental Relationship Between Sample Mass and Sampling Variance in Real Geological Samples and Corresponding Statistical Models [J] . C.R. STANLEY Exploration and Mining Geology . 2007 ,第1a2期

机译：真实地质样品中样品质量与采样方差的基本关系及相应的统计模型
4. How to Estimate Statistical Characteristics Based on a Sample: Nonparametric Maximum Likelihood Approach Leads to Sample Mean,Sample Variance, etc. [C] . Vladik Kreinovich, Thongchai Dumrongpokaphan . 2018

机译：如何基于样本估计统计特征：非参数最大似然法导致样本均值，样本方差等。
5. PROBABILITY SAMPLE U-STATISTICS: THEORY AND APPLICATIONS FOR COMPLEX SAMPLE DESIGNS (VARIANCE COMPONENTS, ROBUST, INFERENCE). [D] . FOLSOM, RALPH E. 1984

机译：概率样本U统计：复杂样本设计（方差分量，鲁棒性，推论）的理论和应用。
6. Comparison of Test Statistics of Nonnormal and Unbalanced Samples for Multivariate Analysis of Variance in terms of Type-I Error Rates [O] . Can Ateş, Özlem Kaymaz, H. Emre Kale, 2019

机译：根据I型错误率进行方差多元分析的非正态和不平衡样本检验统计量的比较
7. How to Estimate Statistical Characteristics Based on a Sample: Nonparametric Maximum Likelihood Approach Leads to Sample Mean, Sample Variance, etc. [O] . Kreinovich, Vladik, Dumrongpokaphan, Thongchai 2017

机译：如何根据样本估计统计特征：非参数最大似然法导致样本均值，样本方差等
8. Applications of non-parametric statistics and analysis of variance on sample variances [R] . Myers, R. H. 1981

机译：非参数统计的应用和方差分析对样本方差的影响

On the sum of the variances of the order statistics for samples of dependent observations

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