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Activity Number: 421
Type: Contributed
Date/Time: Wednesday, August 9, 2006 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #306905
Title: A Semiparametric Approach to K Mixtures of Two Components with Application to the Mapping of Quantitative Trait Loci
Author(s): Shiju Zhang*+ and Biao Zhang and Grier P. Page
Companies: The University of Toledo and The University of Toledo and The University of Alabama at Birmingham
Address: 1660 Vally Ave., Homewood, AL, 35209,
Keywords: density ratio ; mixtures ; quantitative trait loci
Abstract:

The problem of estimating K mixtures of two components is considered. Under the assumption that the ratio of the two component densities takes a parametric form, we obtain the maximum semiparametric likelihood estimators of the parameters and establish the large sample results of those estimators. We then develop an empirical likelihood ratio-based test for the mixing proportion. Simulation studies are conducted. Finally, we apply the approach to some real data and to the mapping of quantitative trait loci linked to genetic markers.

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