Effective Nonparametric Estimation in the Case of Severely Discretized Data
AbstractAlmost all economic data sets are discretized or rounded to some extent. This paper proposes a regression and a density estimator that work especially well when the data is very discrete. The estimators are a weighted average of the data, and the weights are composed of cubic B-splines. Unlike most nonparametric settings, where it is assumed that the observed data comes from a continuum of possibilities, we base our work on the assumption that the discreteness becomes finer as the sample size increases. Rates of convergence and asymptotic distributional results are derived under this condition.
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Bibliographic InfoPaper provided by Duke University, Department of Economics in its series Working Papers with number 00-03.
Date of creation: 2000
Date of revision:
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Postal: Department of Economics Duke University 213 Social Sciences Building Box 90097 Durham, NC 27708-0097
Phone: (919) 660-1800
Fax: (919) 684-8974
Web page: http://econ.duke.edu/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2000-10-05 (All new papers)
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