On the Limiting Distribution of Order Statistics in Random Size Sampling

V. I. Pagurova

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On the Limiting Distribution of Order Statistics in Random Size Sampling

机译：随机大小抽样中阶统计量的极限分布

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摘要

The asymptotic distribution of maximum and intermediate order statistics constructed via random size sampling is considered.

机译：考虑通过随机大小采样构造的最大和中间阶统计量的渐近分布。

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《Moscow University Computational Mathematics and Cybernetics》 |2016年第4期|161-164|共4页
作者
V. I. Pagurova;
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作者单位

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991 Russia;

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原文格式 PDF
正文语种 eng
中图分类
关键词
order statistics; random size sampling; weak convergence;

机译：订单统计;随机大小抽样;弱收敛;

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1. THE RATE OF CONVERGENCE OF THE DISTRIBUTIONS OF REGULAR STATISTICS CONSTRUCTED FROM SAMPLES WITH NEGATIVELY BINOMIALLY DISTRIBUTED RANDOM SIZES TO THE STUDENT DISTRIBUTION [J] . S. V. Gavrilenko, V. N. Zubov, V. Yu. Korolev Journal of Mathematical Sciences . 2017,第6期

机译：由负二项分布随机大小的样本构成的规则统计量的分布收敛于学生分布的速率
2. SECOND-ORDER CHEBYSHEV-EDGEWORTH AND CORNISH-FISHER EXPANSIONS FOR DISTRIBUTIONS OF STATISTICS CONSTRUCTED FROM SAMPLES WITH RANDOM SIZES [J] . G. Christoph, M. M. Monakhov, V. V. Ulyanov Journal of Mathematical Sciences . 2020,第5期

机译：随机大小样本构成的统计量的二阶契比雪夫边值和柯氏圆展开
3. On the Convergence of Distributions of Statistics Constructed from Samples of Random Size to a Multivariate Generalized Variance-Gamma Distributions [J] . Korolev V. Yu., Korchagin A. Yu., Zeifman A. I. Doklady. Mathematics . 2015,第3期

机译：从随机样本构造的统计量到多元广义方差-伽玛分布的收敛性
4. ON CONVERGENCE OF THE DISTRIBUTIONS OF RANDOM SUMS AND STATISTICS CONSTRUCTED FROM SAMPLES WITH RANDOM SIZES TO EXPONENTIAL POWER LAWS [C] . Victor Korolev, M. E. Grigoryeva, Alexander Zeifman European Conference on Modelling and Simulation . 2014

机译：随机尺寸与随机尺寸构建的随机和统计分布的收敛性，对指数动力法
5. Statistical analysis of dolomite outcrop fracture distributions to evaluate well core sized samples (Sawtooth Mountains, Montana) [D] . Todd-Brown, William Edward, Jr. 1983

机译：对白云岩露头裂缝分布进行统计分析，以评估岩心大小的样品（锯齿山，蒙大拿州）
6. Sample size calculation for small sample single-arm trials for time-to-event data: Logrank test with normal approximation or test statistic based on exact chi-square distribution? [O] . Milind A. Phadnis 2019

机译：小样本单臂试验的事件量数据的样本大小计算：采用正态近似或基于精确卡方分布的检验统计量的对数秩检验？
7. On asymptotic behavior of quantiles deficiencies of the distributions of statistics based on the samples with random sizes [O] . Vladimir Evgenyevich Bening 2018

机译：基于随机尺寸的样品的统计分布缺陷的渐近行为
8. U-Statistics of Random-Size Samples and Limit Theorems for Systems of Markovian Particles with Non-Poisson Initial Distributions. [R] . Feldman, R. E., Rachev, S. 1994

机译：具有非泊松初始分布的马尔可夫粒子系统的随机大小样本和极限定理的U统计量。

On the Limiting Distribution of Order Statistics in Random Size Sampling

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