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A Bistochastic Nonparametric Estimator

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Author Info
Juan Gabriel Rodríguez () (Universidad Rey Juan Carlos de Madrid e Instituto de Estudios Fiscales)
Rafael Salas () (Universidad Complutense de Madrid.)

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Abstract

We explore the relevance of adopting a bistochastic nonparametric estimator. This estimator has two main implications. First, the estimator reduces variability according to the robust criterion of second-order stochastic (and Lorenz) dominance. This is a universally criterion in risk and welfare economics, which expands the applicability of nonparametric estimation in economics, for instance to the measurement of economic discrimination. Second, the bistochastic estimator produces smaller errors than do positive-weights nonparametric estimators, in terms of the bias-variance trade-off. This result is verified in a general simulation exercise. This improvement is due to a significant reduction in boundary bias, which makes the estimator itself useful in empirical applications. Finally, consistency, preservation of the mean value, and multidimensional extension are some other useful properties of this estimator.

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Publisher Info
Paper provided by Centro de Estudios Andaluces in its series Economic Working Papers at Centro de Estudios Andaluces with number E2004/22.

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Length: 28 pages
Date of creation: 2004
Date of revision:
Handle: RePEc:cea:doctra:e2004_22

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Related research
Keywords: nonparametric estimation; second-order stochastic dominance; bistochastic estimator;

Find related papers by JEL classification:
C68 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computable General Equilibrium Models
D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
R13 - Urban, Rural, and Regional Economics - - General Regional Economics - - - General Equilibrium and Welfare Economic Analysis of Regional Economies
R15 - Urban, Rural, and Regional Economics - - General Regional Economics - - - Econometric and Input-Output Models; Other Methods

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References listed on IDEAS
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  1. Diebold, Francis X. & Nason, James A., 1990. "Nonparametric exchange rate prediction?," Journal of International Economics, Elsevier, vol. 28(3-4), pages 315-332, May. [Downloadable!] (restricted)
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  2. Juan Gabriel Rodríguez & Rafael Salas & Irene Perrote, 2005. "Partial Horizontal Inequity Orderings: A Non-parametric Approach," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(3), pages 347-368, 06. [Downloadable!] (restricted)
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  3. Delgado, Miguel A & Miles, Daniel, 1997. "Household Characteristics and Consumption Behaviour: A Nonparametric Approach," Empirical Economics, Springer, vol. 22(3), pages 409-29.
  4. Herman Bierens & Hettie Pott-Buter, 1990. "Specification of household engel curves by nonparametric regression," Econometric Reviews, Taylor and Francis Journals, vol. 9(2), pages 123-184. [Downloadable!] (restricted)
  5. Jean-Yves Duclos & Peter J. Lambert, 2000. "A normative and statistical approach to measuring classical horizontal inequity," Canadian Journal of Economics, Canadian Economics Association, vol. 33(1), pages 87-113, February. [Downloadable!] (restricted)
  6. Cowell, Frank A & Victoria-Feser, Maria-Pia, 1996. "Robustness Properties of Inequality Measures," Econometrica, Econometric Society, vol. 64(1), pages 77-101, January. [Downloadable!] (restricted)
  7. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April. [Downloadable!] (restricted)
  8. Bertschek, Irene & Entorf, Horst, 1996. "On Nonparametric Estimation of the Schumpeterian Link between Innovation and Firm Size: Evidence from Belgium, France, and Germany," Empirical Economics, Springer, vol. 21(3), pages 401-26.
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Juan Prieto-Rodriguez & Victor Fernandez-Blanco, 2003. "Optimal Pricing And Grant Policies For Museums," Public Economics 0309002, EconWPA. [Downloadable!]
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  2. Javier Capó Parrilla & Francisco Gómez García, . "Nuevas Estimaciones Del Pleno Empleo De Las Regiones Españolas," Working Papers 18-05 Classification-JEL , Instituto de Estudios Fiscales. [Downloadable!]
  3. Santiago Alvarez-Garcia & Juan Prieto-Rodriguez & Rafael Salas, 2003. "The evolution of income inequality in the European Union," Public Economics 0309003, EconWPA. [Downloadable!]
    Other versions:
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