A Bistochastic Nonparametric Estimator
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.
|Date of creation:||2004|
|Contact details of provider:|| Postal: c/ Bailén 50. 41001 Sevilla|
Phone: (34) 955 055 210
Fax: (34) 955 055 211
Web page: http://www.centrodeestudiosandaluces.es
More information through EDIRC
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.:
- Diebold, Francis X. & Nason, James A., 1990.
"Nonparametric exchange rate prediction?,"
Journal of International Economics,
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 81, Board of Governors of the Federal Reserve System (U.S.).
- Delgado, Miguel A & Miles, Daniel, 1997. "Household Characteristics and Consumption Behaviour: A Nonparametric Approach," Empirical Economics, Springer, vol. 22(3), pages 409-429.
- 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.
- Cowell, Frank A & Victoria-Feser, Maria-Pia, 1996. "Robustness Properties of Inequality Measures," Econometrica, Econometric Society, vol. 64(1), pages 77-101, January.
- 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.
- Juan Gabriel Rodríguez & Rafael Salas & Irene Perrote, 2004. "Partial Horizontal Inequity Orderings: A non-parametric Approach," Economic Working Papers at Centro de Estudios Andaluces E2004/01, Centro de Estudios Andaluces.
- 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.
- 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 401-426. Full references (including those not matched with items on IDEAS)