Partial Identification in Monotone Binary Models: Discrete Regressors and Interval Data
We investigate identification in semi-parametric binary regression models, y = 1(xβ+υ+ε > 0) when υ is either discrete or measured within intervals. The error term ε is assumed to be uncorrelated with a set of instruments z, ε is independent of υ conditionally on x and z, and the support of −(xβ + ε) is finite. We provide a sharp characterization of the set of observationally equivalent parameters β. When there are as many instruments z as variables x, the bounds of the identified intervals of the different scalar components β k of parameter β can be expressed as simple moments of the data. Also, in the case of interval data, we show that additional information on the distribution of υ within intervals shrinks the identified set. Specifically, the closer the conditional distribution of υ given z is to uniformity, the smaller is the identified set. Point identified is achieved if and only if υ is uniform within intervals. Copyright 2008, Wiley-Blackwell.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 75 (2008)
Issue (Month): 3 ()
|Contact details of provider:|| |
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- Donald Green & Karen Jacowitz & Daniel Kahneman & Daniel McFadden, 1995. "Referendum Contingent Valuation, Anchoring, and Willingness to Pay for Public Goods," Working Papers _010, University of California at Berkeley, Econometrics Laboratory Software Archive.
- Andrew Chesher, 2005.
"Nonparametric Identification under Discrete Variation,"
Econometric Society, vol. 73(5), pages 1525-1550, 09.
- Andrew Chesher, 2003. "Nonparametric identification under discrete variation," CeMMAP working papers CWP19/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- 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.
- Edward Leamer, 1906.
"Errors in Variables in Linear Systems,"
UCLA Economics Working Papers
406, UCLA Department of Economics.
- 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.
- Bo E. Honore & Arthur Lewbel, 2002. "Semiparametric Binary Choice Panel Data Models Without Strictly Exogeneous Regressors," Econometrica, Econometric Society, vol. 70(5), pages 2053-2063, September.
- 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.
- 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.
When requesting a correction, please mention this item's handle: RePEc:oup:restud:v:75:y:2008:i:3:p:835-864. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Oxford University Press)or (Christopher F. Baum)
If references are entirely missing, you can add them using this form.