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Non-Parametric Identification and Estimation of Truncated Regression Models

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  • Songnian Chen

Abstract

In this paper, we consider non-parametric identification and estimation of truncated regression models in both cross-sectional and panel data settings. For the cross-sectional case, Lewbel and Linton (2002) considered non-parametric identification and estimation through continuous variation under a log-concavity condition on the error distribution. We obtain non-parametric identification under weaker conditions. In particular, we obtain non-parametric identification through discrete variation under a non-periodicity condition on the hazard function of the error distribution. Furthermore, we show that the presence of continuous regressors may lead to stronger identification results. Our non-parametric estimator is shown to be consistent and asymptotically normal, and outperforms that of Lewbel and Linton (2002) in a simulation study. For the panel data setting, we provide the first systematic treatment of non-parametric identification and estimation of the truncated panel data model with fixed effects by extending our treatment of the cross-sectional case. We also consider various other extensions. Copyright , Wiley-Blackwell.

Suggested Citation

  • Songnian Chen, 2010. "Non-Parametric Identification and Estimation of Truncated Regression Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 127-153.
  • Handle: RePEc:oup:restud:v:77:y:2010:i:1:p:127-153
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    File URL: http://hdl.handle.net/10.1111/j.1467-937X.2009.00572.x
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    Cited by:

    1. Botosaru, Irene & Muris, Chris & Pendakur, Krishna, 2023. "Identification of time-varying transformation models with fixed effects, with an application to unobserved heterogeneity in resource shares," Journal of Econometrics, Elsevier, vol. 232(2), pages 576-597.
    2. Joan Costa-Font & Sergi Jiménez-Martín & Cristina Villaplana, 2016. "Does Long-Term Care Subsidisation Reduce Unnecessary Hospitalisations?," Working Papers 2016-05, FEDEA.
    3. Pierre Dubois & Olivier de Mouzon & Fiona Scott-Morton & Paul Seabright, 2015. "Market size and pharmaceutical innovation," RAND Journal of Economics, RAND Corporation, vol. 46(4), pages 844-871, October.
    4. Joan Costa-i-Font & Sergi Jimenez-Martin & Cristina Vilaplana, 2016. "Does Long-Term Care Subsidisation Reduce Hospital Admissions?," CESifo Working Paper Series 6078, CESifo.
    5. Kevin E. Staub, 2014. "A Causal Interpretation of Extensive and Intensive Margin Effects in Generalized Tobit Models," The Review of Economics and Statistics, MIT Press, vol. 96(2), pages 371-375, May.
    6. Irene Botosaru & Chris Muris & Krishna Pendakur, 2020. "Intertemporal Collective Household Models: Identification in Short Panels with Unobserved Heterogeneity in Resource Shares," Department of Economics Working Papers 2020-09, McMaster University.

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