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Weighted And Two-Stage Least Squares Estimation Of Semiparametric Truncated Regression Models

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Khan, Shakeeb
Lewbel, Arthur

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Abstract

This paper provides a root-n consistent, asymptotically normal weighted least squares estimator of the coefficients in a truncated regression model. The distribution of the errors is unknown and permits general forms of unknown heteroskedasticity. Also provided is an instrumental variables based two-stage least squares estimator for this model, which can be used when some regressors are endogenous, mismeasured, or otherwise correlated with the errors. A simulation study indicates that the new estimators perform well in finite samples. Our limiting distribution theory includes a new asymptotic trimming result addressing the boundary bias in first-stage density estimation without knowledge of the support boundary.This research was supported in part by the National Science Foundation through grant SBR-9514977 to A. Lewbel. The authors thank Thierry Magnac, Dan McFadden, Jim Powell, Richard Blundell, Bo Honor , Jim Heckman, Xiaohong Chen, and Songnian Chen for helpful comments. Any errors are our own.

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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 23 (2007)
Issue (Month): 02 (April)
Pages: 309-347
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Handle: RePEc:cup:etheor:v:23:y:2007:i:02:p:309-347_07

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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.:
  1. Lee, Myoung-jae, 1989. "Mode regression," Journal of Econometrics, Elsevier, vol. 42(3), pages 337-349, November. [Downloadable!] (restricted)
  2. Lee, Myoung-jae, 1993. "Quadratic mode regression," Journal of Econometrics, Elsevier, vol. 57(1-3), pages 1-19. [Downloadable!] (restricted)
  3. Arthur Lewbel, 1998. "Semiparametric Latent Variable Model Estimation with Endogenous or Mismeasured Regressors," Econometrica, Econometric Society, vol. 66(1), pages 105-122, January.
  4. Pakes, Ariel & Pollard, David, 1989. "Simulation and the Asymptotics of Optimization Estimators," Econometrica, Econometric Society, vol. 57(5), pages 1027-57, September. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
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  6. Powell, James L., 1986. "Censored regression quantiles," Journal of Econometrics, Elsevier, vol. 32(1), pages 143-155, June. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Arthur Lewbel, 2000. "Endogenous Selection Or Treatment Model Estimation," Boston College Working Papers in Economics 462, Boston College Department of Economics, revised 13 Jun 2007. [Downloadable!]
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  2. Ghazalian, Pascal & Tamini, Lota & Larue, Bruno & Gervais, Jean-Philippe, 2007. "A Gravity approach to evaluate the significance of trade liberalization in vertically-related goods in the presence of non-tariff barriers," MPRA Paper 2744, University Library of Munich, Germany. [Downloadable!]
  3. Antonis Adam & Manthos D. Delis & Pantelis Kammas, 2008. "Fiscal Decentralization and Public Sector Efficiency: Evidence from OECD Countries," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  4. Delis, Manthos D & Molyneux, Philip & Pasiouras, Fotios, 2009. "Regulations and productivity growth in banking," MPRA Paper 13891, University Library of Munich, Germany. [Downloadable!]
  5. David Jacho-Chávez, 2008. "k nearest-neighbor estimation of inverse density weighted expectations," Economics Bulletin, Economics Bulletin, vol. 3(48), pages 1-6. [Downloadable!]
  6. Thierry Magnac & Eric Maurin, 2003. "Identification & Information in Monotone Binary Models," Research Unit Working Papers 0309, Laboratoire d'Economie Appliquee, INRA. [Downloadable!]
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  7. Sophocles N. Brissimis & Manthos D. Delis & Nikolaos I. Papanikolaou, 2008. "Exploring the Nexus between Banking Sector Reform and Performance: Evidence from Newly Acceded EU Countries," Working Papers 73, Bank of Greece. [Downloadable!]
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  8. Magnac, Thierry & Maurin, Eric, 2003. "Identification and Information in Monotone Binary Models," IDEI Working Papers 180, Institut d'Économie Industrielle (IDEI), Toulouse, revised Oct 2004. [Downloadable!]
    Other versions:
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