ESTIMATION UNDER MODEL UNCERTAINTY

被引:3
作者
Longford, Nicholas T. [1 ,2 ]
机构
[1] SNTL, London, England
[2] Imperial Coll, London, England
关键词
Basis estimator; composite estimation; model selection; ordinary regression; propensity matching; SELECTION; LIKELIHOOD;
D O I
10.5705/ss.202015.0212
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
Model selection has had a virtual monopoly on dealing with model uncertainty ever since models were identified as important conduits for statistical inference. Model averaging alleviates some of its deficiencies, but does not offer a practical solution in all settings. We propose an alternative based on linear combinations of the candidate models' estimators. The general proposal is elaborated for ordinary regression and is illustrated with examples. Some estimators based on invalid models contribute to efficient estimation of certain quantities.
引用
收藏
页码:859 / 877
页数:19
相关论文
共 27 条
[1]  
[Anonymous], 1993, An introduction to the bootstrap
[2]  
[Anonymous], 2006, Model selection and model averaging, DOI DOI 10.1017/CBO9780511790485.003
[3]   SCIENCE AND STATISTICS [J].
BOX, GEP .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1976, 71 (356) :791-799
[4]  
Burnham K.P., 2002, MODEL SELECTION MULT, DOI [10.1007/978-1-4757-2917-7, DOI 10.1007/B97636]
[5]   The focused information criterion [J].
Claeskens, G ;
Hjort, NL .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2003, 98 (464) :900-916
[6]   MAXIMUM LIKELIHOOD FROM INCOMPLETE DATA VIA EM ALGORITHM [J].
DEMPSTER, AP ;
LAIRD, NM ;
RUBIN, DB .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1977, 39 (01) :1-38
[7]   Estimation and Accuracy After Model Selection [J].
Efron, Bradley .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2014, 109 (507) :991-1007
[8]   Variable selection via nonconcave penalized likelihood and its oracle properties [J].
Fan, JQ ;
Li, RZ .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2001, 96 (456) :1348-1360
[9]   Least squares model averaging [J].
Hansen, Bruce E. .
ECONOMETRICA, 2007, 75 (04) :1175-1189
[10]  
Hinkley D.V, 1997, Bootstrap methods and their application