Partial identification using random set theory

Journal of Econometrics

Volumn 166, Issue 1, 2012, Pages 17-32

  Beresteanu, Arie ^a   Molchanov, Ilya ^b   Molinari, Francesca ^c  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b UNIVERSITY OF BERN   (Switzerland)

^c Cornell University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHOQUET CAPACITY; CONDITIONAL EXPECTATION; INDEPENDENCE ASSUMPTION; OBSERVED DATA; PARTIAL IDENTIFICATION; RANDOM SET; RANDOM SET THEORY; SPECIFIC TOOL; STATISTICAL INDEPENDENCE;

PROBABILITY DISTRIBUTIONS;

SET THEORY;

EID: 81155131071     PISSN: 03044076     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jeconom.2011.06.003     Document Type: Conference Paper

References (47)

1. D.W.K. Andrews, and X. Shi Inference Based on Conditional Moment Inequalities 2009 mimeo
2. D.W.K. Andrews, and G. Soares Inference for parameters defined by moment inequalities using generalized moment selection Econometrica 78 2010 119 157
3. Z. Artstein On the calculus of closed set-valued functions Indiana University Mathematics Journal 24 5 1974 433 441
4. Z. Artstein Distributions of random sets and random selections Israel Journal of Mathematics 46 4 1983 313 324
5. R.J. Aumann Integrals of set valued functions Journal of Mathematical Analysis and Applications 12 1965 1 12
6. A. Balke, and J. Pearl Bounds on treatment effects from studies with imperfect compliance Journal of the American Statistical Association 92 439 1997 1171 1176
7. Beresteanu, A.; Molchanov, I.; Molinari, F.; 2008. Sharp identification regions in games, CeMMAP Working Paper CWP15/08.
8. Beresteanu, A.; Molchanov, I.; Molinari, F.; 2009. Sharp identification regions in models with convex predictions: games, Individual choice, and incomplete data, CeMMAP Working Paper CWP27/09.
9. A. Beresteanu, I. Molchanov, and F. Molinari Sharp identification regions in models with convex moment predictions Econometrica 2011 (in press)
10. Beresteanu, A.; Molinari, F.; 2006. Asymptotic properties for a class of partially identified models, CeMMAP Working Paper CWP10/06.
11. A. Beresteanu, and F. Molinari Asymptotic properties for a class of partially identified models Econometrica 76 2008 763 814
12. C. Bontemps, T. Magnac, and E. Maurin Set Identified Linear Models 2008 mimeo
13. F.A. Bugni Bootstrap inference in partially identified models defined by moment inequalities: coverage of the identified set Econometrica 78 2010 735 753
14. I.A. Canay EL Inference for partially identified models: large deviations optimality and bootstrap validity Journal of Econometrics 156 2010 408 425
15. V. Chernozhukov, H. Hong, and E. Tamer Estimation and confidence regions for parameter sets in econometric models Econometrica 75 2007 1243 1284
16. Chernozhukov, V.; Lee, S.; Rosen, A.; 2009. Intersection bounds: estimation and inference, CeMMAP Working Paper CWP19/09.
17. G. Choquet Theory of capacities Annales de l'Institut Fourier 5 19531954 131 295
18. G. Debreu Integration of correspondences Proceedings of the Fifth Berkeley Symposium in Mathematical Statistic and Probability, vol. 2 1967 University of California Press 351 372
19. E. Dynkin, and I.V. Evstigneev Regular conditional expectations of correspondences Theory of Probability and its Applications 21 1976 325 338
20. Galichon, A.; Henry, M.; 2006. Inference in incomplete models, Working Paper, Columbia University.
21. A. Galichon, and M. Henry Set Identification in Models with Multiple Equilibria 2009 mimeo
22. A. Galichon, and M. Henry A test of non-identifying restrictions and confidence regions for partially identified parameters Journal of Econometrics 152 2009 186 196
23. P. Haile, and E. Tamer Inference with an incomplete model of english auctions Journal of Political Economy 111 2003 1 51 (Pubitemid 36380747)
24. G.W. Imbens, and C.F. Manski Confidence intervals for partially identified parameters Econometrica 72 2004 1845 1857
25. T. Kamae, U. Krengel, and G.L. O'Brien Stochastic inequalities on partially ordered spaces Annals of Probability 5 1977 899 912
26. Kitagawa, T.; 2009: Identification region of the potential outcome distributions under instrument independence, CeMMAP Working Paper CWP30/09.
27. S. Li, Y. Ogura, and V. Kreinovich Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables 2002 Kluwer Academic Publishers
28. C.F. Manski Anatomy of the selection problem Journal of Human Resources 24 1989 343 360
29. C.F. Manski Nonparametric bounds on treatment effects American Economic Review Papers and Proceedings 80 1990 319 323
30. C.F. Manski Identification Problems in the Social Sciences 1995 Harvard University Press Cambridge, MA
31. C.F. Manski Monotone treatment response Econometrica 65 6 1997 1311 1334 (Pubitemid 127466780)
32. C.F. Manski Partial Identification of Probability Distributions 2003 Springer Verlag New York
33. C.F. Manski Identification for Prediction and Decision 2007 Harvard University Press Cambridge, MA
34. C.F. Manski, and F. Molinari Rounding probabilistic expectations in surveys Journal of Business and Economic Statistics 28 2010 219 231
35. G. Matheron Random Sets and Integral Geometry 1975 Wiley New York
36. I. Molchanov Limit theorems for convex hulls of random sets Advances in Applied Probability 25 1993 395 414
37. I. Molchanov Theory of Random Sets 2005 Springer Verlag London
38. Neyman, J.S.; 1923. On the application of probability theory to agricaltural experiments. Essay on Principles. Section, Roczniki Nauk Rolniczych.; 10, 151, Reprinted (Translated and Edited) in Statistical Science, 1990, Vol. 5, No. 4, pp. 465480.
39. T. Norberg On the existence of ordered couplings of random sets with applications Israel Journal of Mathematics 77 1992 241 264
40. J.V. Pepper Strong Instrumental Variables 2002 mimeo
41. M. Ponomareva Inference in Models Defined by Conditional Moment Inequalities with Continuous Covariates 2010 mimeo
42. M. Ponomareva, and E. Tamer Misspecification in moment inequality models: back to moment equalities? The Econometrics Journal 14 2011 186 203
43. R. Rockafellar Convex Analysis 1970 Princeton University Press
44. R. Schneider Convex Bodies: The Brunn-Minkowski Theory 1993 Cambridge Univ. Press
45. J. Stoye Bounds on generalized linear predictors with partially identified outcomes Reliable Computing 13 2007 293 302 (Pubitemid 46384655)
46. J. Stoye More on confidence intervals for partially identified parameters Econometrica 77 2009 1299 1315
47. E. Tamer Partial identification in econometrics Annual Reviews of Economics 2 2010 167 195