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Statistics and Probability

University of Tennessee, Knoxville

Model-based clustering

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Full-Text Articles in Physical Sciences and Mathematics

If And How Many 'Races'? The Application Of Mixture Modeling To World-Wide Human Craniometric Variation, Bridget Frances Beatrice Algee-Hewitt Dec 2011

If And How Many 'Races'? The Application Of Mixture Modeling To World-Wide Human Craniometric Variation, Bridget Frances Beatrice Algee-Hewitt

Doctoral Dissertations

Studies in human cranial variation are extensive and widely discussed. While skeletal biologists continue to focus on questions of biological distance and population history, group-specific knowledge is being increasingly used for human identification in medico-legal contexts. The importance of this research has been often overshadowed by both philosophic and methodological concerns. Many analyses have been constrained in their scope by the limited availability of representative samples and readily criticized for adopting statistical techniques that require user-guidance and a priori information. A multi-part project is presented here that implements model-based clustering as an alternative approach for population studies using craniometric traits. …

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Mixture Model Cluster Analysis Under Different Covariance Structures Using Information Complexity, Bahar Erar Aug 2011

Mixture Model Cluster Analysis Under Different Covariance Structures Using Information Complexity, Bahar Erar

Masters Theses

In this thesis, a mixture-model cluster analysis technique under different covariance structures of the component densities is developed and presented, to capture the compactness, orientation, shape, and the volume of component clusters in one expert system to handle Gaussian high dimensional heterogeneous data sets to achieve flexibility in currently practiced cluster analysis techniques. Two approaches to parameter estimation are considered and compared; one using the Expectation-Maximization (EM) algorithm and another following a Bayesian framework using the Gibbs sampler. We develop and score several forms of the ICOMP criterion of Bozdogan (1994, 2004) as our fitness function; to choose the number …

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