Weak convergence of the linear rank statistics under strong mixing conditions

Lucia Tabacu

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Weak convergence of the linear rank statistics under strong mixing conditions

机译：在强搅拌条件下线性等级统计的弱收融

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摘要

Abstract

We obtain the asymptotic distribution of the linear rank statistics under weak dependence. We consider a sequence of strong mixing random vectors with unequal dimensions and show the asymptotic normality of the rank statistics based on overall ranking.

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机译：<！[cdata [ Abstract

我们在弱依赖性下获得了线性等级统计信息的渐近分布。我们考虑一系列具有不等维度的强大混合随机载体，并展示基于整体排名的等级统计数据的渐近常态。 ]] >

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来源
《Statistics & Probability Letters》 |2018年第2018期|共7页
作者
Lucia Tabacu;
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作者单位

Old Dominion University;

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原文格式 PDF
正文语种 eng
中图分类概率论（几率论、或然率论）;
关键词
Rank statistics; Strong mixing; Weak convergence; U-statistics; p-continuous;

机译：等级统计;强化;弱收敛;U形统计;对连续的;

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专利

1. Weak convergence of the linear rank statistics under strong mixing conditions [J] . Lucia Tabacu Statistics & Probability Letters . 2018,第期

机译：在强搅拌条件下线性等级统计的弱收融
2. Asymptotic regularity conditions for the strong convergence towards weak limit sets and weak attractors of the 3D Navier-Stokes equations [J] . Rosa RMS Journal of Differential Equations . 2006,第1期

机译：向3D Navier-Stokes方程的弱极限集和弱吸引子的强收敛的渐近正则条件
3. A Note on Weak Convergence of the Sequential Multivariate Empirical Process Under Strong Mixing [J] . Buecher Axel Journal of theoretical probability . 2015,第3期

机译：关于强混合下序列多元经验过程弱收敛的一个注记
4. Influence of Weak and Strong Solid Wall Boundary Conditions on the Convergence to Steady- State of the Navier- Stokes Equations [C] . P. Eliasson, J. Nordstr?, S. Eriksson AIAA Computational Fluid Dynamics Conference . 2009

机译：弱和强实心壁边界条件对Navier-Stokes方程收敛性对稳态的影响
5. RECORDS IN THE PRESENCE OF A LINEAR TREND (GAUSSIAN PROCESSES, STRONG MIXING, ARMA MODELS, WEAK CONVERGENCE). [D] . BALLERINI, ROCCO. 1985

机译：存在线性趋势（高斯过程，强混合，ARMA模型，弱收敛）的记录。
6. Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces [O] . Habtu Zegeye, Naseer Shahzad -1

机译：自反Banach空间中Bregman弱相对论非扩张映射的有限个族的公共不动点的强收敛定理
7. Weak Convergence of Sequential Linear Rank Statistics [O] . Henry I. Braun 1976

机译：序贯线性等级统计的弱收融
8. A Weak Convergence Theorem for Order Statistics from Strong-Mixing Processes [R] . Welsch, R. E. 1970

机译：强混合过程中阶数统计的弱收敛定理

Weak convergence of the linear rank statistics under strong mixing conditions

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