Partial Identification in Monotone Binary Models : Discrete Regressors and Interval Data
We investigate inference in semi-parametric binary regression models, y = 1(x¯ +v+² > 0) when ² is assumed uncorrelated with a set of instruments z, ² is independentof v conditionally on x and z, and the conditional support of ² is su¢ciently smallrelative to the support of v. We characterize the set of observationally equivalentparameters ¯ when interval data only are available on v or when v is discrete. Whenthere exist as many instruments z as variables x, the sets within which lie the scalarcomponents ¯k of parameter ¯ can be estimated by simple linear regressions. Also, inthe case of interval data, it is shown that additional information on the distribution ofv within intervals shrinks the identi…cation set. Namely, the closer to uniformity thedistribution of v is, the smaller the identi…cation set is. Point identi…cation is achievedif and only if v is uniform within intervals.
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- Bierens, Herman J. & Hartog, Joop, 1988.
"Non-linear regression with discrete explanatory variables, with an application to the earnings function,"
Journal of Econometrics,
Elsevier, vol. 38(3), pages 269-299, July.
- Bierens, H.J. & Hartog, J.A., 1988. "Nonlineair regression with discrete explanatory variables : with an application to the earnings function," Serie Research Memoranda 0003, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
- Bo E. Honore & Arthur Lewbel, 2002.
"Semiparametric Binary Choice Panel Data Models Without Strictly Exogeneous Regressors,"
Econometric Society, vol. 70(5), pages 2053-2063, September.
- Bo E. Honore & Arthur Lewbel, 1998. "Semiparametric Binary Choice Panel Data Models without Strictly Exogeneous Regressors," Boston College Working Papers in Economics 455, Boston College Department of Economics, revised 22 Sep 2001.
- Donald Green & Karen Jacowitz & Daniel Kahneman & Daniel McFadden, 1995.
"Referendum Contingent Valuation, Anchoring, and Willingness to Pay for Public Goods,"
_010, University of California at Berkeley, Econometrics Laboratory Software Archive.
- Green, Donald & Jacowitz, Karen E. & Kahneman, Daniel & McFadden, Daniel, 1998. "Referendum contingent valuation, anchoring, and willingness to pay for public goods," Resource and Energy Economics, Elsevier, vol. 20(2), pages 85-116, June.
- Edward Leamer, 1906.
"Errors in Variables in Linear Systems,"
UCLA Economics Working Papers
406, UCLA Department of Economics.
- Charles F. Manski & Elie Tamer, 2002. "Inference on Regressions with Interval Data on a Regressor or Outcome," Econometrica, Econometric Society, vol. 70(2), pages 519-546, March.
- Arellano, Manuel & Meghir, Costas, 1992.
"Female Labour Supply and On-the-Job Search: An Empirical Model Estimated Using Complementary Data Sets,"
Review of Economic Studies,
Wiley Blackwell, vol. 59(3), pages 537-59, July.
- M Arellano & Costas Megir & Mary Silles, 1990. "Female Labour Supply and On-the-Job Search: An Empirical Model Estimated using Complementary Data Sets," CEP Discussion Papers dp0009, Centre for Economic Performance, LSE.
- Arthur Lewbel, 1999.
"Semiparametric Qualitative Response Model Estimation with Unknown Heteroskedasticity or Instrumental Variables,"
Boston College Working Papers in Economics
454, Boston College Department of Economics.
- Lewbel, Arthur, 2000. "Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables," Journal of Econometrics, Elsevier, vol. 97(1), pages 145-177, July.
- Andrew Chesher, 2003.
"Nonparametric identification under discrete variation,"
CeMMAP working papers
CWP19/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Andrew Chesher, 2005. "Nonparametric Identification under Discrete Variation," Econometrica, Econometric Society, vol. 73(5), pages 1525-1550, 09.
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