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Properties of the QME under asymmetrically distributed disturbances

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  • Laitila, Thomas

Abstract

The quadratic mode regression estimator has been suggested for truncated regression models where symmetry characterizes the distribution of disturbances. In this paper the estimator is shown to be consistent and asymptotically normal distributed under asymmetrically distributed disturbances.

Suggested Citation

  • Laitila, Thomas, 2001. "Properties of the QME under asymmetrically distributed disturbances," Statistics & Probability Letters, Elsevier, vol. 52(4), pages 347-352, May.
    • Handle: RePEc:eee:stapro:v:52:y:2001:i:4:p:347-352
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    References listed on IDEAS

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    1. Powell, James L, 1986. "Symmetrically Trimmed Least Squares Estimation for Tobit Models," Econometrica, Econometric Society, vol. 54(6), pages 1435-1460, November.
    2. White, Halbert, 1980. "Nonlinear Regression on Cross-Section Data," Econometrica, Econometric Society, vol. 48(3), pages 721-746, April.
    3. 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.
    4. Lee, Myoung-jae, 1989. "Mode regression," Journal of Econometrics, Elsevier, vol. 42(3), pages 337-349, November.
    5. Lee, Myoung-jae, 1993. "Quadratic mode regression," Journal of Econometrics, Elsevier, vol. 57(1-3), pages 1-19.
    6. Pakes, Ariel & Pollard, David, 1989. "Simulation and the Asymptotics of Optimization Estimators," Econometrica, Econometric Society, vol. 57(5), pages 1027-1057, September.
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    Cited by:

    1. Anita Lindmark, 2022. "Sensitivity analysis for unobserved confounding in causal mediation analysis allowing for effect modification, censoring and truncation," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(4), pages 785-814, October.

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