Interval regression models with endogenous explanatory variables
We consider the estimation of linear models where the dependent variable is observed by intervals and some continuous regressors may be endogenous. Our approach, an IV version of the technique devised by Stewart (Rev Econ Stud 50(3):737–753, 1983 ), is fully parametric and two estimators are proposed: a two-step estimator and a limited-information maximum-likelihood estimator. The results can be summarized as follows: the two-step estimator has an intuitive appeal, and a Monte Carlo experiment suggests that its relative efficiency is rather satisfactory. The limited-information maximum-likelihood estimator, however, is probably simpler to implement and has the advantage of providing a framework in which several testing procedures are more straightforward to perform. The application of two-stage least squares to a proxy of the dependent variable built by taking midpoints, on the other hand, leads to inconsistent estimates; Monte Carlo evidence suggests that the bias arising from the “midpoint” technique is much worse than the effect of distributional misspecification. An example application is also included, which uses Australian data on migrants’ remittances; endogeneity effects are substantial and using conventional estimation methods leads to substantially misleading inference. Copyright Springer-Verlag 2012
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): 43 (2012)
Issue (Month): 2 (October)
|Contact details of provider:|| Web page: http://www.springer.com|
|Order Information:||Web: http://www.springer.com/economics/econometrics/journal/181/PS2|
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.:
- Mark B. Stewart, 1983.
"On Least Squares Estimation when the Dependent Variable is Grouped,"
Review of Economic Studies,
Oxford University Press, vol. 50(4), pages 737-753.
- Mark B. Stewart, 1982. "On Least Squares Estimation When the Dependent Variable is Grouped," Working Papers 539, Princeton University, Department of Economics, Industrial Relations Section..
- Stewart, Mark B, 1982. "On Least Squares Estimation when the Dependent Variable is Grouped," The Warwick Economics Research Paper Series (TWERPS) 207, University of Warwick, 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.
- Han Hong & Elie Tamer, 2003. "Inference in Censored Models with Endogenous Regressors," Econometrica, Econometric Society, vol. 71(3), pages 905-932, 05.
- Elie Tamer, 2000. "Inference in Censored Models with Endogenous Regressors," Econometric Society World Congress 2000 Contributed Papers 1815, Econometric Society.
- Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
- Rapoport, Hillel & Docquier, Frederic, 2006. "The Economics of Migrants' Remittances," Handbook on the Economics of Giving, Reciprocity and Altruism, Elsevier.
- Rapoport, Hillel & Docquier, Frédéric, 2005. "The Economics of Migrants’ Remittances," IZA Discussion Papers 1531, Institute for the Study of Labor (IZA).
- Rothenberg, Thomas J, 1971. "Identification in Parametric Models," Econometrica, Econometric Society, vol. 39(3), pages 577-591, May.
- Gao, Chuanming & Lahiri, Kajal, 2000. "Further consequences of viewing LIML as an iterated Aitken estimator," Journal of Econometrics, Elsevier, vol. 98(2), pages 187-202, October.
- Joseph V. Terza & Donald S. Kenkel & Tsui-Fang Lin & Shinichi Sakata, 2008. "Care-giver advice as a preventive measure for drinking during pregnancy: zeros, categorical outcome responses, and endogeneity," Health Economics, John Wiley & Sons, Ltd., vol. 17(1), pages 41-54.
- Lucas, Robert E B & Stark, Oded, 1985. "Motivations to Remit: Evidence from Botswana," Journal of Political Economy, University of Chicago Press, vol. 93(5), pages 901-918, October.
- Chesher, Andrew & Irish, Margaret, 1987. "Residual analysis in the grouped and censored normal linear model," Journal of Econometrics, Elsevier, vol. 34(1-2), pages 33-61.
- Rivers, Douglas & Vuong, Quang H., 1988. "Limited information estimators and exogeneity tests for simultaneous probit models," Journal of Econometrics, Elsevier, vol. 39(3), pages 347-366, November.
- Giulia Bettin & Riccardo Lucchetti & Alberto Zazzaro, 2009. "Income, consumption and remittances: evidence from immigrants to Australia," Mo.Fi.R. Working Papers 34, Money and Finance Research group (Mo.Fi.R.) - Univ. Politecnica Marche - Dept. Economic and Social Sciences.
- Bettin, Giulia & Lucchetti, Riccardo & Zazzaro, Alberto, 2009. "Income, consumption and remittances: Evidence from immigrants to Australia," HWWI Research Papers 3-21, Hamburg Institute of International Economics (HWWI).
- Cox, Donald & Eser, Zekeriya & Jimenez, Emmanuel, 1998. "Motives for private transfers over the life cycle: An analytical framework and evidence for Peru," Journal of Development Economics, Elsevier, vol. 55(1), pages 57-80, February.
- Donald Cox & Zekeriya Eser & Emmanuel Jimenez, 1996. "Motives for Private Transfers over the Life Cycle: An Analytical Framework and Evidence for Peru," Boston College Working Papers in Economics 327., Boston College Department of Economics.
- Ken Clark & Stephen Drinkwater, 2007. "An Investigation Of Household Remittance Behaviour: Evidence From The United Kingdom," Manchester School, University of Manchester, vol. 75(6), pages 717-741, December.
- Hoddinott, John, 1994. "A Model of Migration and Remittances Applied to Western Kenya," Oxford Economic Papers, Oxford University Press, vol. 46(3), pages 459-476, July.
- Hiroyuki Kawakatsu & Ann G. Largey, 2009. "EM algorithms for ordered probit models with endogenous regressors," Econometrics Journal, Royal Economic Society, vol. 12(1), pages 164-186, 03.
- Agarwal, Reena & Horowitz, Andrew W., 2002. "Are International Remittances Altruism or Insurance? Evidence from Guyana Using Multiple-Migrant Households," World Development, Elsevier, vol. 30(11), pages 2033-2044, November.
- Funkhouser, Edward, 1995. "Remittances from International Migration: A Comparison of El Salvador and Nicaragua," The Review of Economics and Statistics, MIT Press, vol. 77(1), pages 137-146, February.
- Neumann, George & Olitsky, Neal & Robbins, Steve, 2009. "Job congruence, academic achievement, and earnings," Labour Economics, Elsevier, vol. 16(5), pages 503-509, October.
- Catalina Amuedo-Dorantes & Susan Pozo, 2006. "Remittances as insurance: evidence from Mexican immigrants," Journal of Population Economics, Springer;European Society for Population Economics, vol. 19(2), pages 227-254, June.
- Brown, Richard P. C., 1997. "Estimating remittance functions for Pacific Island Migrants," World Development, Elsevier, vol. 25(4), pages 613-626, January. Full references (including those not matched with items on IDEAS)