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Activity Number: 305
Type: Contributed
Date/Time: Tuesday, August 6, 2013 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract - #308969
Title: Parameterization and Smoothing Using Bernstein Polynomials: Another Look at Beta Mixture
Author(s): Zhong Guan*+
Companies: Indiana University South Bend
Keywords: Iterated Bernstein polynomials ; Beta Mixture ; Density estimation ; Parametrization ; Smoothing ; Nonparametric model
Abstract:

Method of parameterizing and smoothing the unknown underling distributions in non-parametric models using iterated Bernstein polynomials is proposed, verified and investigated. Methods of choosing optimal degree of the Bernstein polynomials is also presented. The method is applied to estimate the density function and the cumulative distribution function. Simulation study shows that one can benefit from both the smoothness and the accuracy by using the proposed method.


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