Extreme variances of order statistics in dependent samples

Rychlik T

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Extreme variances of order statistics in dependent samples

机译：相关样本中订单统计的极端方差

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摘要

We determine optimal bounds on variances of order statistics based oil samples of dependent identically distributed random variables in terms of population variance scale units.

机译：我们根据种群方差标度单位确定基于依变量分布均匀的随机变量的油样的阶次统计量方差的最佳界限。

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《Statistics & Probability Letters 》 |2008年第12期| 共6页
作者
Rychlik T;
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正文语种 eng
中图分类概率论（几率论、或然率论） ;
关键词
MAXIMUM VARIANCE; RECTANGULAR DISTRIBUTIONS; FINITE POPULATION; RECORDS; BOUNDS;

机译：最大方差;矩形分布;有限人口;记录;界限;

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专利

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. On the sum of the variances of the order statistics for samples of dependent observations [J] . Borisov I. S. Sibirskie elektronnye matematicheskie izvestiia: Siberian Electronic Mathematical Reports . 2014 ,第4期

机译：关于从属观测值样本的阶次统计量的方差之和
3. Extremal properties of order statistic distributions for dependent samples with partially known multidimensional marginals [J] . Andrzej Okolewski Journal of Multivariate Analysis: An International Journal . 2017 ,第期

机译：具有部分已知的多维边缘的依赖样本的秩序统计分布的极值特性
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. On the Exact Evaluation of the Variances and Covariances of Order Statistics in Samples from the Extreme-Value Distribution [O] . Julius Lieblein 1953

机译：在极值分布中对样本中秩序统计的差异和协方差的精确评估
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

Extreme variances of order statistics in dependent samples

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