A Bistochastic Nonparametric Estimator
AbstractWe 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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Bibliographic InfoPaper provided by Centro de Estudios Andaluces in its series Economic Working Papers at Centro de Estudios Andaluces with number E2004/22.
Length: 28 pages
Date of creation: 2004
Date of revision:
nonparametric estimation; second-order stochastic dominance; bistochastic estimator;
Find related papers by JEL classification:
- C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
- D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
- R13 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General Equilibrium and Welfare Economic Analysis of Regional Economies
- R15 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Econometric and Input-Output Models; Other Methods
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-05-09 (All new papers)
- NEP-ECM-2004-05-09 (Econometrics)
- NEP-GEO-2004-05-09 (Economic Geography)
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- Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, Elsevier, vol. 6(2), pages 180-187, April.
- Diebold, Francis X. & Nason, James A., 1990.
"Nonparametric exchange rate prediction?,"
Journal of International Economics, Elsevier,
Elsevier, vol. 28(3-4), pages 315-332, May.
- Francis X. Diebold & James M. Nason, 1989. "Nonparametric exchange rate prediction?," Finance and Economics Discussion Series, Board of Governors of the Federal Reserve System (U.S.) 81, Board of Governors of the Federal Reserve System (U.S.).
- 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, Springer, vol. 21(3), pages 401-26.
- 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,
Department of Economics, University of Oxford, vol. 67(3), pages 347-368, 06.
- Juan Gabriel Rodríguez & Rafael Salas & Irene Perrote, 2004. "Partial Horizontal Inequity Orderings: A non-parametric Approach," Economic Working Papers at Centro de Estudios Andaluces, Centro de Estudios Andaluces E2004/01, Centro de Estudios Andaluces.
- Jean-Yves Duclos & Peter J. Lambert, 2000. "A normative and statistical approach to measuring classical horizontal inequity," Canadian Journal of Economics, Canadian Economics Association, Canadian Economics Association, vol. 33(1), pages 87-113, February.
- Delgado, Miguel A & Miles, Daniel, 1997. "Household Characteristics and Consumption Behaviour: A Nonparametric Approach," Empirical Economics, Springer, Springer, vol. 22(3), pages 409-29.
- Cowell, Frank A & Victoria-Feser, Maria-Pia, 1996. "Robustness Properties of Inequality Measures," Econometrica, Econometric Society, Econometric Society, vol. 64(1), pages 77-101, January.
- Juan Prieto-Rodríguez & Víctor Fernández-Blanco, 2006.
"Optimal pricing and grant policies for museums,"
Journal of Cultural Economics, Springer,
Springer, vol. 30(3), pages 169-181, December.
- Juan Prieto Rodríguez & Víctor Fernández Blanco, . "Optimal Pricing And Grant Policies For Museums," Working Papers, Instituto de Estudios Fiscales 3-02 Classification-JEL :, Instituto de Estudios Fiscales.
- Juan Prieto-Rodriguez & Victor Fernandez-Blanco, 2003. "Optimal Pricing And Grant Policies For Museums," Public Economics, EconWPA 0309002, EconWPA.
- Juan Prieto-Rodríguez & Rafael Salas & Santiago Álvarez-García, .
"The Evolution Of Income Inequality In The European Union,"
Working Papers, Instituto de Estudios Fiscales
10-02 Classification-JEL , Instituto de Estudios Fiscales.
- Santiago Alvarez-Garcia & Juan Prieto-Rodriguez & Rafael Salas, 2003. "The evolution of income inequality in the European Union," Public Economics, EconWPA 0309003, EconWPA.
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