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Estimating Semiparametric Econometrics Models by Local Linear Method: With an Application to Cross-Country Growth


  • Qi Li

    (Department of Economics, Texas A&M University)

  • Jeffrey Wooldridge

    (Department of Economics, Michigan State University)


It is well established that local linear method dominates the conventional local constant method in estimating nonparametric regression models by kernel method. In this paper we consider the problem of estimating semiparametric econometric models by local linear method. We provide a simple proof of establishing the joint asymptotic normality of the local linear estimator. We then show that our results can be used to easily derive the asymptotic distributions of local linear estimators for several semiparametric econometric models. An empirical application of using a semiparametric local linear estimator to cross country growth data is examined.

Suggested Citation

  • Qi Li & Jeffrey Wooldridge, 2000. "Estimating Semiparametric Econometrics Models by Local Linear Method: With an Application to Cross-Country Growth," Annals of Economics and Finance, Society for AEF, vol. 1(2), pages 337-357, November.
  • Handle: RePEc:cuf:journl:y:2000:v:1:i:2:p:337-357

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    References listed on IDEAS

    1. Oliver E. Williamson, 1967. "Hierarchical Control and Optimum Firm Size," Journal of Political Economy, University of Chicago Press, vol. 75, pages 123-123.
    2. Calvo, Guillermo A & Wellisz, Stanislaw, 1978. "Supervision, Loss of Control, and the Optimum Size of the Firm," Journal of Political Economy, University of Chicago Press, vol. 86(5), pages 943-952, October.
    3. Bengt Holmstrom, 1982. "Moral Hazard in Teams," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 324-340, Autumn.
    4. Klein, Benjamin & Crawford, Robert G & Alchian, Armen A, 1978. "Vertical Integration, Appropriable Rents, and the Competitive Contracting Process," Journal of Law and Economics, University of Chicago Press, vol. 21(2), pages 297-326, October.
    5. Bonin John P. & Putterman Louis, 1993. "Incentives and Monitoring in Cooperatives with Labor-Proportionate Sharing Schemes," Journal of Comparative Economics, Elsevier, vol. 17(3), pages 663-686, September.
    6. Bonin, John P & Jones, Derek C & Putterman, Louis, 1993. "Theoretical and Empirical Studies of Producer Cooperatives: Will Ever the Twain Meet?," Journal of Economic Literature, American Economic Association, vol. 31(3), pages 1290-1320, September.
    7. Ben-ner, Avner, 1988. "The life cycle of worker-owned firms in market economies : A theoretical analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 10(3), pages 287-313, October.
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    Cited by:

    1. Tran, Kien C. & Tsionas, Efthymios G., 2009. "Estimation of nonparametric inefficiency effects stochastic frontier models with an application to British manufacturing," Economic Modelling, Elsevier, vol. 26(5), pages 904-909, September.
    2. repec:kap:jproda:v:47:y:2017:i:3:d:10.1007_s11123-016-0479-x is not listed on IDEAS
    3. Henderson, Daniel J. & Ullah, Aman, 2005. "A nonparametric random effects estimator," Economics Letters, Elsevier, vol. 88(3), pages 403-407, September.

    More about this item


    Local linear estimator; Asymptotic normality; Partially linear model; Smoothing coefficient model;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models


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