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Semiparametric econometric estimators for a truncated regression model: a review with an extension

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  • M.‐J. Lee
  • H. Kim

Abstract

Econometric estimators for a truncated regression model are reviewed. For each estimator, the motivations, the key assumptions, the asymptotic distribution and estimates for the asymptotic variance matrix are presented; also a new estimator is suggested. We select five practical estimators among those, and compare them through a Monte Carlo study where the response variable is simulated but the covariates are drawn from a real data set. Some practical and computational issues are addressed as well.

Suggested Citation

  • M.‐J. Lee & H. Kim, 1998. "Semiparametric econometric estimators for a truncated regression model: a review with an extension," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 52(2), pages 200-225, June.
  • Handle: RePEc:bla:stanee:v:52:y:1998:i:2:p:200-225
    DOI: 10.1111/1467-9574.00078
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    Cited by:

    1. Karlsson, Maria & Laitila, Thomas, 2008. "A semiparametric regression estimator under left truncation and right censoring," Statistics & Probability Letters, Elsevier, vol. 78(16), pages 2567-2571, November.
    2. Kemp, Gordon C.R. & Santos Silva, J.M.C., 2012. "Regression towards the mode," Journal of Econometrics, Elsevier, vol. 170(1), pages 92-101.
    3. Myoung‐jae Lee & Unto Häkkinen & Gunnar Rosenqvist, 2007. "Finding the best treatment under heavy censoring and hidden bias," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 170(1), pages 133-147, January.
    4. Baldauf, Markus & Santos Silva, J.M.C., 2012. "On the use of robust regression in econometrics," Economics Letters, Elsevier, vol. 114(1), pages 124-127.
    5. Laitila, Thomas, 2001. "Properties of the QME under asymmetrically distributed disturbances," Statistics & Probability Letters, Elsevier, vol. 52(4), pages 347-352, May.
    6. Choi, Jin-young & Lee, Myoung-jae, 2019. "Twins are more different than commonly believed, but made less different by compensating behaviors," Economics & Human Biology, Elsevier, vol. 35(C), pages 18-31.
    7. Yen-Chi Chen, 2017. "Modal Regression using Kernel Density Estimation: a Review," Papers 1710.07004, arXiv.org, revised Dec 2017.

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