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Local Likelihood Estimation of Truncated Regression and Its Partial Derivatives: Theory and Application

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Author Info

  • Byeong U. Park

    (Seoul National University)

  • Leopold Simar

    (Universite Catholique de Louvain and Toulouse School of Economics)

  • Valentin Zelenyuk

    (Kyiv School of Economics and Kyiv Economics Institute)

Abstract

In this paper we propose a very flexible estimator in the context of truncated regression that does not require parametric assumptions. To do this, we adapt the theory of local maximum likelihood estimation. We provide the asymptotic results and illustrate the performance of our estimator on simulated and real data sets. Our estimator performs as good as the fully parametric estimator when the assumptions for the latter hold, but as expected, much better when they do not (provided that the curse of dimensionality problem is not the issue). Overall, our estimator exhibits a fair degree of robustness to various deviations from linearity in the regression equation and also to deviations from the specification of the error term. So the approach shall prove to be very useful in practical applications, where the parametric form of the regression or of the distribution is rarely known.

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Bibliographic Info

Paper provided by Kyiv School of Economics in its series Discussion Papers with number 7.

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Date of creation: May 2008
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Handle: RePEc:kse:dpaper:7

Note: Published in Journal of Econometrics, 146, 185-198 (2008)
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Keywords: Nonparametric Truncated Regression; Local Likelihood;

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References

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  1. Kumbhakar, Subal C. & Park, Byeong U. & Simar, Leopold & Tsionas, Efthymios G., 2007. "Nonparametric stochastic frontiers: A local maximum likelihood approach," Journal of Econometrics, Elsevier, vol. 137(1), pages 1-27, March.
  2. Valentin Zelenyuk & Vitaliy Zheka, 2006. "Corporate Governance and Firm’s Efficiency: The Case of a Transitional Country, Ukraine," Journal of Productivity Analysis, Springer, vol. 25(1), pages 143-157, 04.
  3. Arthur Lewbel & Oliver Linton, 2000. "Nonparametric Censored and Truncated Regression," STICERD - Econometrics Paper Series /2000/389, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  4. Subodh Kumar & R. Robert Russell, 2002. "Technological Change, Technological Catch-up, and Capital Deepening: Relative Contributions to Growth and Convergence," American Economic Review, American Economic Association, vol. 92(3), pages 527-548, June.
  5. S. Illeris & G. Akehurst, 2001. "Introduction," The Service Industries Journal, Taylor & Francis Journals, vol. 21(1), pages 1-4, January.
  6. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
  7. Vives,Xavier (ed.), 2006. "Corporate Governance," Cambridge Books, Cambridge University Press, number 9780521032032, October.
  8. Simar, Leopold & Wilson, Paul W., 2007. "Estimation and inference in two-stage, semi-parametric models of production processes," Journal of Econometrics, Elsevier, vol. 136(1), pages 31-64, January.
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Citations

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Cited by:
  1. Eduardo Fé, 2013. "Estimating production frontiers and efficiency when output is a discretely distributed economic bad," Journal of Productivity Analysis, Springer, vol. 39(3), pages 285-302, June.
  2. Eduardo Fé-Rodríguez & Richard Hofler, 2009. "Count Data Stochastic Frontier Models, with an application to the patents-R&D Relationship," The School of Economics Discussion Paper Series 0916, Economics, The University of Manchester.
  3. Luiza Badin & Cinzia Daraio & Léopold Simar, 2008. "Optimal Bandwidth Selection for Conditional Efficiency Measures: a Data-driven Approach," LEM Papers Series 2008/22, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  4. Claudia Curi & Paolo Guarda & Ana Lozano-Vivas & Valentin Zelenyuk, 2013. "Is foreign-bank efficiency in financial centers driven by home or host country characteristics?," Journal of Productivity Analysis, Springer, vol. 40(3), pages 367-385, December.
  5. Valentin Zelenyuk & Claudia Curi & Paolo Guarda & Ana Lozano-Vivas, 2011. "Is foreign-bank efficiency in financial centers driven by home-country characteristics?," CEPA Working Papers Series WP022011, School of Economics, University of Queensland, Australia.
  6. Alice Shiu, Valentin Zelenyuk, 2010. "Production Efficiency versus Ownership: The Case of China," Discussion Papers 33, Kyiv School of Economics.
  7. Halkos, George E. & Tzeremes, Nickolaos G., 2013. "A conditional directional distance function approach for measuring regional environmental efficiency: Evidence from UK regions," European Journal of Operational Research, Elsevier, vol. 227(1), pages 182-189.
  8. Léopold Simar & Paul Wilson, 2011. "Two-stage DEA: caveat emptor," Journal of Productivity Analysis, Springer, vol. 36(2), pages 205-218, October.
  9. Ding, Lan & Li, Haizheng, 2012. "Social networks and study abroad — The case of Chinese visiting students in the US," China Economic Review, Elsevier, vol. 23(3), pages 580-589.
  10. Léopold Simar & Valentin Zelenyuk, 2011. "Stochastic FDH/DEA estimators for frontier analysis," Journal of Productivity Analysis, Springer, vol. 36(1), pages 1-20, August.
  11. Minegishi, Kota, 2013. "Explaining Production Heterogeneity By Contextual Environments: Two-Stage DEA Application to Technical Change Measurement," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150289, Agricultural and Applied Economics Association.
  12. Leopold Simar & Ingrid Van Keilegom & Valentin Zelenyuk, 2014. "Nonparametric Least Squares Methods for Stochastic Frontier Models," CEPA Working Papers Series WP032014, School of Economics, University of Queensland, Australia.
  13. Grigol, Modebadze, 2011. "Foreign Investment Effects on the Banking Sector in Georgia," MPRA Paper 32897, University Library of Munich, Germany.
  14. Pavlo Demchuk & Valentin Zelenyuk, 2009. "Testing differences in efficiency of regions within a country: the case of Ukraine," Journal of Productivity Analysis, Springer, vol. 32(2), pages 81-102, October.
  15. Halkos, George & Tzeremes, Nickolaos, 2012. "A conditional directional distance function approach for measuring regional environmental efficiency: Evidence from the UK regions," MPRA Paper 38147, University Library of Munich, Germany.

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