A note on bootstrap model selection criterion

被引:7
作者
Chung, HY [1 ]
Lee, KW [1 ]
Koo, JY [1 ]
机构
[1] HALLYM UNIV,DEPT STAT,CHUNCHON 200702,SOUTH KOREA
关键词
Kullback-Leibler discrepancy; nonparametric bootstrap; parametric bootstrap;
D O I
10.1016/0167-7152(94)00249-5
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
We show that a bootstrap model selection criterion constructed by directly plugging-in a consistent estimator in place of the unknown parameter has a downward bias of amount roughly equivalent to the number of parameters in the approximating model, An example is provided to illustrate the points discussed.
引用
收藏
页码:35 / 41
页数:7
相关论文
共 7 条
[1]  
Akaike H., 1973, 2 INT S INFORM THEOR, P267, DOI [10.1007/978-1-4612-1694-0_15, DOI 10.1007/978-1-4612-1694-0_15]
[2]  
Beran R., 1991, ASYMPTOTIC THEORY BO
[3]   1977 RIETZ LECTURE - BOOTSTRAP METHODS - ANOTHER LOOK AT THE JACKKNIFE [J].
EFRON, B .
ANNALS OF STATISTICS, 1979, 7 (01) :1-26
[4]  
Linhart H., 1986, MODEL SELECTION
[5]  
Sakamoto Y., 1986, AKAIKE INFORM CRITER
[6]   MODEL SELECTION AND THE ESTIMATION OF ODDS RATIOS IN THE PRESENCE OF EXTRANEOUS FACTORS [J].
SCHALL, R ;
ZUCCHINI, W .
STATISTICS IN MEDICINE, 1990, 9 (10) :1131-1141
[7]   LINEAR-MODEL SELECTION BY CROSS-VALIDATION [J].
SHAO, J .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1993, 88 (422) :486-494