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Activity Number: 120
Type: Contributed
Date/Time: Monday, August 3, 2009 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract - #304858
Title: Chung-Smirnov Property for Bernstein Estimators of Distribution Functions
Author(s): Alexandre Leblanc*+
Companies: University of Manitoba
Address: Department of Statistics, Winnipeg, MB, R3T 2N2, Canada
Keywords: Bernstein polynomials ; Distribution function estimation ; Law of iterated logarithms ; Asymptotic properties ; Empirical processes
Abstract:

In this talk, we will discuss the fact that the Chung-Smirnov property holds for Bernstein estimators of distribution functions under different conditions on the underlying distribution to be estimated. We will also discuss general results that characterize the closeness between these Bernstein estimators and the empirical distribution function in terms of the modulus of oscillation of the uniform empirical process.

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