Estimation of Nonlinear Models with Mismeasured Regressors Using Marginal Information
Abstract
We consider the estimation of nonlinear models with mismeasured explanatory variables, when information on the marginal distribution of the true values of these variables is available. We derive a semi-parametric MLE that is shown to be $\sqrt{n}$ consistent and asymptotically normally distributed. In a simulation experiment we find that the finite sample distribution of the estimator is close to the asymptotic approximation. The semi-parametric MLE is applied to a duration model for AFDC welfare spells with misreported welfare benefits. The marginal distribution of the correctly measured welfare benefits is obtained from an administrative source.Download Info
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.Bibliographic Info
Paper provided by The Johns Hopkins University,Department of Economics in its series Economics Working Paper Archive with number 554.Length:
Date of creation: Jun 2009
Date of revision:
Handle: RePEc:jhu:papers:554
Contact details of provider:
Postal: 3400 North Charles Street Baltimore, MD 21218
Phone: 410-516-7601
Fax: 410-516-7600
Web page: http://www.econ.jhu.edu
More information through EDIRC
Related research
Keywords:Other versions of this item:
- Yingyao Hu & Geert Ridder, 2012. "Estimation of nonlinear models with mismeasured regressors using marginal information," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(3), pages 347-385, 04.
- Yingyao Hu & Geert Ridder, 2005. "Estimation of Nonlinear Models with Mismeasured Regressors Using Marginal Information," IEPR Working Papers 05.39, Institute of Economic Policy Research (IEPR).
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
- I38 - Health, Education, and Welfare - - Welfare and Poverty - - - Government Programs; Provision and Effects of Welfare Programs
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-07-17 (All new papers)
- NEP-ECM-2009-07-17 (Econometrics)
References
References listed on IDEASPlease 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.:
- Robert Moffitt, 2001.
"The Temporary Assistance for Needy Families Program,"
Economics Working Paper Archive
463, The Johns Hopkins University,Department of Economics.
- Robert A. Moffitt, 2003. "The Temporary Assistance for Needy Families Program," NBER Chapters, in: Means-Tested Transfer Programs in the United States, pages 291-364 National Bureau of Economic Research, Inc.
- Robert Moffitt, 2002. "The Temporary Assistance for Needy Families Program," NBER Working Papers 8749, National Bureau of Economic Research, Inc.
- Blank, Rebecca M., 1989. "Analyzing the length of welfare spells," Journal of Public Economics, Elsevier, vol. 39(3), pages 245-273, August.
- Joel L. Horowitz & Marianthi Markatou, 1993. "Semiparametric Estimation Of Regression Models For Panel Data," Econometrics 9309001, EconWPA.
- Meyer, Bruce D, 1990.
"Unemployment Insurance and Unemployment Spells,"
Econometrica,
Econometric Society, vol. 58(4), pages 757-82, July.
- Bruce D. Meyer, 1991. "Unemployment Insurance And Unemployment Spells," NBER Working Papers 2546, National Bureau of Economic Research, Inc.
- Hsiao, C., 1988.
"Consistent Estimation For Some Nonlinear Errors-In- Variables Models,"
Papers
m8810, Southern California - Department of Economics.
- Hsiao, Cheng, 1989. "Consistent estimation for some nonlinear errors-in-variables models," Journal of Econometrics, Elsevier, vol. 41(1), pages 159-185, May.
- Newey, Whitney K, 1994. "The Asymptotic Variance of Semiparametric Estimators," Econometrica, Econometric Society, vol. 62(6), pages 1349-82, November.
- Hilary Williamson Hoynes, 1996.
"Local Labor Markets and Welfare Spells: Do Demand Conditions Matter?,"
NBER Working Papers
5643, National Bureau of Economic Research, Inc.
- Hilary Williamson Hoynes, 2000. "Local Labor Markets And Welfare Spells: Do Demand Conditions Matter?," The Review of Economics and Statistics, MIT Press, vol. 82(3), pages 351-368, August.
- H. W. Hoynes, . "Local Labor Markets and Welfare Spells: Do Demand Conditions Matter?," Institute for Research on Poverty Discussion Papers 1104-96, University of Wisconsin Institute for Research on Poverty.
- repec:bla:restud:v:72:y:2005:i:2:p:343-366 is not listed on IDEAS
- Joshua Angrist & Alan Krueger, 1998.
"Empirical Strategies in Labor Economics,"
Working papers
98-7, Massachusetts Institute of Technology (MIT), Department of Economics.
- Angrist, Joshua D. & Krueger, Alan B., 1999. "Empirical strategies in labor economics," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 23, pages 1277-1366 Elsevier.
- Joshua Angrist & Alan Krueger, 1998. "Empirical Strategies in Labor Economics," Working Papers 780, Princeton University, Department of Economics, Industrial Relations Section..
- Hausman, J. A. & Newey, W. K. & Powell, J. L., 1995. "Nonlinear errors in variables Estimation of some Engel curves," Journal of Econometrics, Elsevier, vol. 65(1), pages 205-233, January.
- Arthur Lewbel, 1998. "Semiparametric Latent Variable Model Estimation with Endogenous or Mismeasured Regressors," Econometrica, Econometric Society, vol. 66(1), pages 105-122, January.
- Horowitz, Joel L & Markatou, Marianthi, 1996. "Semiparametric Estimation of Regression Models for Panel Data," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 145-68, January.
- Thomas J. Kane & Cecilia Elena Rouse & Douglas Staiger, 1999.
"Estimating Returns to Schooling When Schooling is Misreported,"
NBER Working Papers
7235, National Bureau of Economic Research, Inc.
- Thomas J. Kane & Cecilia Rouse & Douglas Staiger, 1999. "Estimating Returns to Schooling When Schooling is Misreported," Working Papers 798, Princeton University, Department of Economics, Industrial Relations Section..
- Wang, Liqun, 1998. "Estimation of censored linear errors-in-variables models," Journal of Econometrics, Elsevier, vol. 84(2), pages 383-400, June.
- Susanne M. Schennach, 2004.
"Instrumental Variable Estimation of Nonlinear Errors-in-Variables Models,"
Econometric Society 2004 North American Summer Meetings
602, Econometric Society.
- Susanne M Schennach, 2007. "Instrumental Variable Estimation of Nonlinear Errors-in-Variables Models," Econometrica, Econometric Society, vol. 75(1), pages 201-239, 01.
- Susanne M. Schennach, 2004. "Estimation of Nonlinear Models with Measurement Error," Econometrica, Econometric Society, vol. 72(1), pages 33-75, 01.
- Thomas Augustin, 2004. "An Exact Corrected Log-Likelihood Function for Cox's Proportional Hazards Model under Measurement Error and Some Extensions," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics & Finnish Statistical Society & Norwegian Statistical Association & Swedish Statistical Association, vol. 31(1), pages 43-50.
- Bound, John & Brown, Charles & Mathiowetz, Nancy, 2001. "Measurement error in survey data," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 59, pages 3705-3843 Elsevier.
- Li, Tong, 2002. "Robust and consistent estimation of nonlinear errors-in-variables models," Journal of Econometrics, Elsevier, vol. 110(1), pages 1-26, September.
- Bound, John & Krueger, Alan B, 1991.
"The Extent of Measurement Error in Longitudinal Earnings Data: Do Two Wrongs Make a Right?,"
Journal of Labor Economics,
University of Chicago Press, vol. 9(1), pages 1-24, January.
- John Bound & Alan B. Krueger, 1989. "The Extent of Measurement Error In Longitudinal Earnings Data: Do Two Wrongs Make A Right?," NBER Working Papers 2885, National Bureau of Economic Research, Inc.
- Hoynes, Hilary & MaCurdy, Thomas, 1994. "Has the Decline in Benefits Shortened Welfare Spells?," American Economic Review, American Economic Association, vol. 84(2), pages 43-48, May.
- Bound, John, et al, 1994. "Evidence on the Validity of Cross-Sectional and Longitudinal Labor Market Data," Journal of Labor Economics, University of Chicago Press, vol. 12(3), pages 345-68, July.
- Sepanski, J. H. & Carroll, R. J., 1993. "Semiparametric quasilikelihood and variance function estimation in measurement error models," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 223-256, July.
- John M. Fitzgerald, 1995. "Local labor markets and local area effects on welfare duration," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 14(1), pages 43-67.
- Yingyao Hu & Susanne Schennach, 2006. "Identification and estimation of nonclassical nonlinear errors-in-variables models with continuous distributions using instruments," CeMMAP working papers CWP17/06, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Hsiao, Ch., 1989.
"Identification and Estimation of Dichotomous Latent Variables Models using Panel Data,"
Discussion Paper
1989-44, Tilburg University, Center for Economic Research.
- Hsiao, Cheng, 1991. "Identification and Estimation of Dichotomous Latent Variables Models Using Panel Data," Review of Economic Studies, Wiley Blackwell, vol. 58(4), pages 717-31, July.
- Hsiao, C., 1989. "Identification And Estimation Of Dichotomous Latent Variables Models Using Panel Data," Papers 8944, Tilburg - Center for Economic Research.
- Blank, Rebecca M & Ruggles, Patricia, 1994. "Short-Term Recidivism among Public-Assistance Recipients," American Economic Review, American Economic Association, vol. 84(2), pages 49-53, May.
- Arthur Lewbel, 1997. "Constructing Instruments for Regressions with Measurement Error when no Additional Data are Available, with an Application to Patents and R&D," Econometrica, Econometric Society, vol. 65(5), pages 1201-1214, September.
- Hsiao, Cheng & Wang, Q Kevin, 2000. "Estimation of Structural Nonlinear Errors-in-Variables Models by Simulated Least-Squares Method," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 523-42, May.
- Li, Tong & Vuong, Quang, 1998. "Nonparametric Estimation of the Measurement Error Model Using Multiple Indicators," Journal of Multivariate Analysis, Elsevier, vol. 65(2), pages 139-165, May.
- Bound, John & Griliches, Zvi & Hall, Bronwyn H, 1986. "Wages, Schooling and IQ of Brothers and Sisters: Do the Family Factors Differ?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 77-105, February.
- John M. Barron & Mark C. Berger & Dan A. Black, 1997. "On-the-Job Training," Books from Upjohn Press, W.E. Upjohn Institute for Employment Research, number ojt, Septiembr.
- Hausman, Jerry A. & Newey, Whitney K. & Ichimura, Hidehiko & Powell, James L., 1991. "Identification and estimation of polynomial errors-in-variables models," Journal of Econometrics, Elsevier, vol. 50(3), pages 273-295, December.
Citations
Lists
This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.Statistics
Access and download statisticsCorrections
When requesting a correction, please mention this item's handle: RePEc:jhu:papers:554For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Boqun Wang).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.

