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Nonparametric Slope Estimators for Fixed-Effect Panel Data

Author

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  • Kusum Mundra

    (San Diego State University)

Abstract

In panel data the interest is often in slope estimation while taking account of the unobserved cross sectional heterogeneity. This paper proposes two nonparametric slope estimation where the unobserved effect is treated as fixed across cross section. The first estimator uses first-differencing transformation and the second estimator uses the mean deviation transformation. The asymptotic properties of the two estimators are established and the finite sample Monte Carlo properties of the two estimators are investigated allowing for systematic dependence between the cross-sectional effect and the independent variable. Simulation results suggest that the new nonparametric estimators perform better than the parametric counterparts. We also investigate the finite sample properties of the parametric within and first differencing estimators. A very common practice in estimating earning function is to assume earnings to be quadratic in age and tenure, but that might be misspecified. In this paper we estimate nonparametric slope of age and tenure on earnings using NLSY data and compare it to the parametric (quadratic) effect.

Suggested Citation

  • Kusum Mundra, 2005. "Nonparametric Slope Estimators for Fixed-Effect Panel Data," Econometrics 0502008, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpem:0502008
    Note: Type of Document - pdf; pages: 38
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    References listed on IDEAS

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    Cited by:

    1. Christopher F. Parmeter & Jeffrey S. Racine, 2018. "Nonparametric Estimation and Inference for Panel Data Models," Department of Economics Working Papers 2018-02, McMaster University.
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    3. Rodriguez-Poo, Juan M. & Soberón, Alexandra, 2015. "Nonparametric estimation of fixed effects panel data varying coefficient models," Journal of Multivariate Analysis, Elsevier, vol. 133(C), pages 95-122.
    4. Su, Liangjun & Ullah, Aman, 2006. "Profile likelihood estimation of partially linear panel data models with fixed effects," Economics Letters, Elsevier, vol. 92(1), pages 75-81, July.

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    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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