Empirical Likelihood Confidence Intervals for Distribution Functions under Negatively Associated Samples

被引:0
作者
Li, Yufang [1 ]
Qin, Yongsong [1 ]
机构
[1] Guangxi Normal Univ, Sch Math Sci, Guilin 541004, Guangxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Blockwise empirical likelihood; Confidence interval; Distribution function; Negatively associated sample; ASYMPTOTIC NORMALITY; CONVERGENCE; INEQUALITIES; SUMS;
D O I
10.1080/03610926.2011.647220
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this article, we discuss the construction of the confidence intervals for distribution functions under negatively associated samples. It is shown that the blockwise empirical likelihood (EL) ratio statistic for a distribution function is asymptotically (2)-type distributed. The result is used to obtain an EL-based confidence interval for the distribution function.
引用
收藏
页码:4357 / 4364
页数:8
相关论文
共 29 条
[1]   SOME CONCEPTS OF NEGATIVE DEPENDENCE [J].
BLOCK, HW ;
SAVITS, TH ;
SHAKED, M .
ANNALS OF PROBABILITY, 1982, 10 (03) :765-772
[2]   Berry-Esseen bounds for smooth estimator of a distribution function under association [J].
Cai, ZW ;
Roussas, GG .
JOURNAL OF NONPARAMETRIC STATISTICS, 1999, 11 (1-3) :79-106
[4]   RESAMPLING A COVERAGE PATTERN [J].
HALL, P .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1985, 20 (02) :231-246
[5]   METHODOLOGY AND ALGORITHMS OF EMPIRICAL LIKELIHOOD [J].
HALL, P ;
LASCALA, B .
INTERNATIONAL STATISTICAL REVIEW, 1990, 58 (02) :109-127
[6]  
Hall P., 2013, BOOTSTRAP EDGEWORTH
[7]   Some maximal inequalities and complete convergences of negatively associated random sequences [J].
Huang, WT ;
Xu, B .
STATISTICS & PROBABILITY LETTERS, 2002, 57 (02) :183-191
[8]   NEGATIVE ASSOCIATION OF RANDOM-VARIABLES, WITH APPLICATIONS [J].
JOAGDEV, K ;
PROSCHAN, F .
ANNALS OF STATISTICS, 1983, 11 (01) :286-295
[9]   Empirical likelihood methods with weakly dependent processes [J].
Kitamura, Y .
ANNALS OF STATISTICS, 1997, 25 (05) :2084-2102
[10]   THE JACKKNIFE AND THE BOOTSTRAP FOR GENERAL STATIONARY OBSERVATIONS [J].
KUNSCH, HR .
ANNALS OF STATISTICS, 1989, 17 (03) :1217-1241