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ℓ1 regressions: Gini estimators for fixed effects panel data

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  • Ndéné Ka

    (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UPVM - Université Paul-Valéry - Montpellier 3 - INRA - Institut National de la Recherche Agronomique - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

  • Stéphane Mussard

    (UNIMES - Université de Nîmes)

Abstract

Panel data, frequently employed in empirical investigations, provide estimators being strongly biased in the presence of atypical observations. The aim of this work is to propose a ℓ 1 Gini regression for panel data. It is shown that the fixed effects within-group Gini estimator is more robust than the ordinary least squares one when the data are contaminated by outliers. This semi-parametric Gini estimator is proven to be an U-statistics, consequently, it is asymptotically normal.

Suggested Citation

  • Ndéné Ka & Stéphane Mussard, 2015. "ℓ1 regressions: Gini estimators for fixed effects panel data," Post-Print hal-01784180, HAL.
    • Handle: RePEc:hal:journl:hal-01784180
    DOI: 10.1080/02664763.2015.1103707
    Note: View the original document on HAL open archive server: https://hal.science/hal-01784180
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    References listed on IDEAS

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    1. Shlomo Yitzhaki, 2003. "Gini’s Mean difference: a superior measure of variability for non-normal distributions," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 285-316.
    2. Shlomo Yitzhaki & Peter Lambert, 2013. "The relationship between the absolute deviation from a quantile and Gini’s mean difference," METRON, Springer;Sapienza Università di Roma, vol. 71(2), pages 97-104, September.
    3. Shlomo Yitzhaki & Edna Schechtman, 2004. "The Gini Instrumental Variable, or the “double instrumental variable” estimator," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 287-313.
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    Cited by:

    1. Arthur Charpentier & Ndéné Ka & Stéphane Mussard & Oumar Hamady Ndiaye, 2019. "Gini Regressions and Heteroskedasticity," Econometrics, MDPI, vol. 7(1), pages 1-16, January.
    2. Charles Condevaux & Stéphane Mussard & Téa Ouraga & Guillaume Zambrano, 2020. "Generalized Gini linear and quadratic discriminant analyses," METRON, Springer;Sapienza Università di Roma, vol. 78(2), pages 219-236, August.

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