A test of non-identifying restrictions and confidence regions for partially identified parameters

被引:35
作者
Galichon, Alfred [1 ]
Henry, Marc [2 ]
机构
[1] Ecole Polytech, Dept Econ, F-91128 Palaiseau, France
[2] Univ Montreal, Dept Sci Econ, Montreal, PQ H3C 3J7, Canada
关键词
Partial identification; Mass transportation; Specification test; NONPARAMETRIC BOUNDS; EMPIRICAL PROCESSES; MODELS; REGRESSORS; SETS;
D O I
10.1016/j.jeconom.2009.01.010
中图分类号
F [经济];
学科分类号
02 ;
摘要
We propose an easily implementable test of the validity of a set of theoretical restrictions on the relationship between economic variables, which do not necessarily identify the data generating process. The restrictions can be derived from anymodel of interactions, allowing censoring and multiple equilibria. When the restrictions are parameterized, the test can be inverted to yield confidence regions for partially identified parameters, thereby complementing other proposals, primarily Chernozhukov et al. [Chernozhukov, V., Hong. H., Tamer, E., 2007. Estimation and confidence regions for parameter sets in econometric models. Econometrica 75, 1243-1285]. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:186 / 196
页数:11
相关论文
共 53 条
[41]  
PAKES A, 2004, MOMENT INEQUAL UNPUB
[42]   CONDITIONS FOR IDENTIFICATION IN NONPARAMETRIC AND PARAMETRIC MODELS [J].
ROEHRIG, CS .
ECONOMETRICA, 1988, 56 (02) :433-447
[43]   Inference for identifiable parameters in partially identified econometric models [J].
Romano, Joseph P. ;
Shaikh, Azeem M. .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (09) :2786-2807
[44]  
ROMANO JP, 2006, INFERENCE IDEN UNPUB
[45]   Confidence sets for partially identified parameters that satisfy a finite number of moment inequalities [J].
Rosen, Adam M. .
JOURNAL OF ECONOMETRICS, 2008, 146 (01) :107-117
[46]  
SEN PK, 2004, CONSTRAINED STAT INF
[47]   THE OSCILLATION BEHAVIOR OF EMPIRICAL PROCESSES - THE MULTIVARIATE CASE [J].
STUTE, W .
ANNALS OF PROBABILITY, 1984, 12 (02) :361-379
[48]   THE TRANSPORTATION COST FROM THE UNIFORM MEASURE TO THE EMPIRICAL MEASURE IN DIMENSION GREATER-THAN-OR-EQUAL-TO-3 [J].
TALAGRAND, M .
ANNALS OF PROBABILITY, 1994, 22 (02) :919-959
[49]   Incomplete simultaneous discrete response: Model with multiple equilibria [J].
Tamer, E .
REVIEW OF ECONOMIC STUDIES, 2003, 70 (01) :147-165
[50]  
TINBERGEN J, 1951, INT EC PAPERS EC ASS, V1, P95