Berry-Esseen bound of sample quantiles for negatively associated sequence

被引：6

作者：

Yang, Wenzhi ^{[1
]}

Hu, Shuhe ^{[1
]}

Wang, Xuejun ^{[1
]}

Zhang, Qinchi ^{[2
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China

[2] Univ Sci & Technol China, Dept Stat & Finance, Hefei 230026, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年

关键词：

Berry-Ess?e?en bound; sample quantile; negatively associated; BAHADUR REPRESENTATION; ESTIMATOR; THEOREM;

D O I：

10.1186/1029-242X-2011-83

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the Berry-Esseen bound of the sample quantiles for the negatively associated random variables under some weak conditions. The rate of normal approximation is shown as O(n(-1/9)). (C)2010 Mathematics Subject Classification: 62F12; 62E20; 60F05.

引用

页数：14

共 23 条

[1] BABU GJ, 1978, J MULTIVARIATE ANAL, V8, P532, DOI 10.1016/0047-259X(78)90031-3
[2] A NOTE ON QUANTILES IN LARGE SAMPLES
BAHADUR, RR
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (03): : 577 - &
[3] Berry-Esseen bounds for smooth estimator of a distribution function under association
Cai, ZW
Roussas, GG
[J]. JOURNAL OF NONPARAMETRIC STATISTICS, 1999, 11 (1-3) : 79 - 106
[4] Smooth estimate of quantiles under association
Cai, ZW
Roussas, GG
[J]. STATISTICS & PROBABILITY LETTERS, 1997, 36 (03) : 275 - 287
[5] BERRY-ESSEEN BOUND FOR THE KAPLAN-MEIER ESTIMATOR
CHANG, MN
RAO, PV
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1989, 18 (12) : 4647 - 4664
[6] Smooth estimation of survival and density functions for a stationary associated process using Poisson weights
Chaubey, Yogendra P.
Dewan, Isha
Li, Jun
[J]. STATISTICS & PROBABILITY LETTERS, 2011, 81 (02) : 267 - 276
[7] Hall P., 1980, Martingale Limit Theory and Its Application
[8] A BERRY-ESSEEN THEOREM FOR SAMPLE QUANTILES UNDER WEAK DEPENDENCE
Lahiri, S. N.
Sun, S.
[J]. ANNALS OF APPLIED PROBABILITY, 2009, 19 (01) : 108 - 126
[9] The Bahadur representation for sample quantile under NOD sequence
Li, Xiaoqin
Yang, Wenzhi
Hu, Shuhe
Wang, Xuejun
[J]. JOURNAL OF NONPARAMETRIC STATISTICS, 2011, 23 (01) : 59 - 65
[10] Berry-Esseen bounds for density estimates under NA assumption
Liang, Han-Ying
Baek, Jong-Il
[J]. METRIKA, 2008, 68 (03) : 305 - 322

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