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Activity Number: 270
Type: Contributed
Date/Time: Tuesday, August 4, 2009 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Computing
Abstract - #305328
Title: Estimating Mixture Proportions When Categorized Data Are Available
Author(s): Shiju Zhang*+
Companies: St. Cloud State University
Address: , , 56301,
Keywords: Bernstein polynomial ; likelihood ; mixture density
Abstract:

The problem of estimating the mixture proportion of a two-component finite mixture distribution based on a sample from each component and a sample from the mixture is considered. Our method is likelihood-based. Since neither of the underlying component density is assumed known, the densities are first estimated with the categorized data using kernels or Bernstein polynomials. The mixture data likelihood then contains the only unknown proportion. The method is compared with existing methods through examples and numeric experiments.


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