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A Nonparametric Partially Identified Estimator for Equivalence Scales

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  • Dudel, Christian

Abstract

Methods for estimating equivalence scales usually rely on rather strong identifying assumptions. This paper considers a partially identified estimator for equivalence scales derived from the potential outcomes framework and using nonparametric methods for estimation, which requires only mild assumptions. Instead of point estimates, the method yields only lower and upper bounds of equivalence scales. Results of an analysis using German expenditure data show that the range implied by these bounds is rather wide, but can be reduced using additional covariates.

Suggested Citation

  • Dudel, Christian, 2014. "A Nonparametric Partially Identified Estimator for Equivalence Scales," Ruhr Economic Papers 526, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    • Handle: RePEc:zbw:rwirep:526
    DOI: 10.4419/86788601
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    References listed on IDEAS

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    1. Peter Hall & Jeff Racine & Qi Li, 2004. "Cross-Validation and the Estimation of Conditional Probability Densities," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 1015-1026, December.
    2. Abbring, Jaap H. & Heckman, James J., 2007. "Econometric Evaluation of Social Programs, Part III: Distributional Treatment Effects, Dynamic Treatment Effects, Dynamic Discrete Choice, and General Equilibrium Policy Evaluation," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 72, Elsevier.
    3. Coulter, Fiona A E & Cowell, Frank A & Jenkins, Stephen P, 1992. "Equivalence Scale Relativities and the Extent of Inequality and Poverty," Economic Journal, Royal Economic Society, vol. 102(414), pages 1067-1082, September.
    4. Sekhon, Jasjeet S., 2011. "Multivariate and Propensity Score Matching Software with Automated Balance Optimization: The Matching package for R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 42(i07).
    5. Christian Dudel & Jan Marvin Garbuszus & Notburga Ott & Martin Werding, 2014. "Non-Parametric Preprocessing for the Estimation of Equivalence Scales," CESifo Working Paper Series 5103, CESifo.
    6. Szulc, Adam, 2009. "A matching estimator of household equivalence scales," Economics Letters, Elsevier, vol. 103(2), pages 81-83, May.
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    Cited by:

    1. Dudel Christian & Garbuszus Jan Marvin & Ott Notburga & Werding Martin, 2017. "Matching as Non-Parametric Preprocessing for the Estimation of Equivalence Scales," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 237(2), pages 115-141, April.

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    More about this item

    Keywords

    household equivalence scale; partial identification; matching estimator;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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