Jackknife Empirical Likelihood

被引:189
作者
Jing, Bing-Yi [1 ]
Yuan, Junqing
Zhou, Wang [2 ]
机构
[1] Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China
[2] Natl Univ Singapore, Dept Stat & Appl Probabil, Singapore 117546, Singapore
关键词
Confidence regions; Empirical likelihood; Jackknife; Pseudo-values; U-statistics; CONFIDENCE-INTERVALS; U-STATISTICS; BIAS;
D O I
10.1198/jasa.2009.tm08260
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
Empirical likelihood has been found very useful in many different occasions. However, when applied directly to some more complicated statistics such as U-statistics, it runs into serious computational difficulties. In this paper, we introduce a so-called jackknife empirical likelihood (JEL) method. The new method is extremely simple to use in practice. In particular. the JEL is shown to be very effective in handling one and two-sample U-statistics. The JEL can be potentially useful for other nonlinear statistics.
引用
收藏
页码:1224 / 1232
页数:9
相关论文
共 20 条
[1]  
Andrews D, 1985, DATA
[2]   JACKKNIFING U-STATISTICS [J].
ARVESEN, JN .
ANNALS OF MATHEMATICAL STATISTICS, 1969, 40 (06) :2076-&
[3]   SMOOTHED EMPIRICAL LIKELIHOOD CONFIDENCE-INTERVALS FOR QUANTILES [J].
CHEN, SX ;
HALL, P .
ANNALS OF STATISTICS, 1993, 21 (03) :1166-1181
[4]   Empirical likelihood confidence intervals for nonparametric density estimation [J].
Chen, SX .
BIOMETRIKA, 1996, 83 (02) :329-341
[5]   Empirical likelihood confidence intervals for local linear smoothers [J].
Chen, SX ;
Qin, YS .
BIOMETRIKA, 2000, 87 (04) :946-953
[6]   EMPIRICAL LIKELIHOOD IS BARTLETT-CORRECTABLE [J].
DICICCIO, T ;
HALL, P ;
ROMANO, J .
ANNALS OF STATISTICS, 1991, 19 (02) :1053-1061
[7]   A CLASS OF STATISTICS WITH ASYMPTOTICALLY NORMAL DISTRIBUTION [J].
HOEFFDING, W .
ANNALS OF MATHEMATICAL STATISTICS, 1948, 19 (03) :293-325
[8]  
Lee Alan James, 1990, U-statistics: Theory and practice
[9]   UNBALANCED JACKKNIFE [J].
MILLER, RG .
ANNALS OF STATISTICS, 1974, 2 (05) :880-891
[10]   EMPIRICAL LIKELIHOOD RATIO CONFIDENCE-REGIONS [J].
OWEN, A .
ANNALS OF STATISTICS, 1990, 18 (01) :90-120