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Semiparametric Generalized Least Squares in the Multivariate Nonlinear Regression Model

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  • Delgado, Miguel A.

Abstract

Asymptotically efficient estimates for the multiple equations nonlinear regression model are obtained in the presence of heteroskedasticity of unknown form. The proposed estimator is a generalized least squares based on nonparametric nearest neighbor estimates of the conditional variance matrices. Some Monte Carlo experiments are reported.

Suggested Citation

  • Delgado, Miguel A., 1992. "Semiparametric Generalized Least Squares in the Multivariate Nonlinear Regression Model," Econometric Theory, Cambridge University Press, vol. 8(2), pages 203-222, June.
    • Handle: RePEc:cup:etheor:v:8:y:1992:i:02:p:203-222_01
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    Citations

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    Cited by:

    1. Hardle, Wolfgang & Linton, Oliver, 1986. "Applied nonparametric methods," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 38, pages 2295-2339, Elsevier.
    2. Inkmann, Joachim, 2000. "Misspecified heteroskedasticity in the panel probit model: A small sample comparison of GMM and SML estimators," Journal of Econometrics, Elsevier, vol. 97(2), pages 227-259, August.
    3. Long, M.C.Mark C., 2004. "College applications and the effect of affirmative action," Journal of Econometrics, Elsevier, vol. 121(1-2), pages 319-342.
    4. Nilanjana Roy, 2002. "Is Adaptive Estimation Useful For Panel Models With Heteroskedasticity In The Individual Specific Error Component? Some Monte Carlo Evidence," Econometric Reviews, Taylor & Francis Journals, vol. 21(2), pages 189-203.
    5. Miguel A. Delgado & Juan Mora, 1995. "On asymptotic inferences in non-parametric and semiparametric models with discrete and mixed regressors," Investigaciones Economicas, Fundación SEPI, vol. 19(3), pages 435-467, September.
    6. Marsh, L.C.Lawrence C., 2004. "The econometrics of higher education: editor's view," Journal of Econometrics, Elsevier, vol. 121(1-2), pages 1-18.
    7. Miguel A. Delgado & Thomas J. Kniesner, 1997. "Count Data Models With Variance Of Unknown Form: An Application To A Hedonic Model Of Worker Absenteeism," The Review of Economics and Statistics, MIT Press, vol. 79(1), pages 41-49, February.
    8. Noureddine Kouaissah & Sergio Ortobelli Lozza & Ikram Jebabli, 2022. "Portfolio Selection Using Multivariate Semiparametric Estimators and a Copula PCA-Based Approach," Computational Economics, Springer;Society for Computational Economics, vol. 60(3), pages 833-859, October.
    9. Baltagi, Badi H. & Bresson, Georges & Pirotte, Alain, 2006. "Joint LM test for homoskedasticity in a one-way error component model," Journal of Econometrics, Elsevier, vol. 134(2), pages 401-417, October.
    10. J. M. C. Santos Silva & Silvana Tenreyro, 2006. "The Log of Gravity," The Review of Economics and Statistics, MIT Press, vol. 88(4), pages 641-658, November.
    11. Álvarez, Begoña, 1998. "La demanda atendida de consultas médicas y atención urgente," DE - Documentos de Trabajo. Economía. DE 3890, Universidad Carlos III de Madrid. Departamento de Economía.
    12. Inkmann, Joachim, 1997. "Circumventing multiple integration: A comparison of GMM and SML estimators for the panel probit model," Discussion Papers, Series II 339, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    13. Mnasri, Ayman & Nechi, Salem, 2021. "New nonlinear estimators of the gravity equation," Economic Modelling, Elsevier, vol. 95(C), pages 192-202.
    14. Chu, Ba & Jacho-Chávez, David T., 2012. "k-NEAREST NEIGHBOR ESTIMATION OF INVERSE-DENSITY-WEIGHTED EXPECTATIONS WITH DEPENDENT DATA," Econometric Theory, Cambridge University Press, vol. 28(4), pages 769-803, August.
    15. Álvarez, Begoña, 1997. "Nonparametric checks for count data models: an application to demand for health care in Spain," DES - Working Papers. Statistics and Econometrics. WS 4547, Universidad Carlos III de Madrid. Departamento de Estadística.
    16. Li, Hongjun & Li, Qi & Liu, Ruixuan, 2016. "Consistent model specification tests based on k-nearest-neighbor estimation method," Journal of Econometrics, Elsevier, vol. 194(1), pages 187-202.

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