Chung–Smirnov property for Bernstein estimators of distribution functions

Alexandre Leblanc

Journal of Nonparametric Statistics, 2009, vol. 21, issue 2, 133-142

Abstract: In this article, we show that the Chung–Smirnov property holds for Bernstein estimators of distribution functions under different conditions on the underlying distribution to be estimated. In doing so, we obtain general results that characterise the closeness between these Bernstein estimators and the empirical distribution function Fn.

Date: 2009
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Citations: View citations in EconPapers (7)

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DOI: 10.1080/10485250802485676

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