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Management Sciences and Quantitative Methods

University of Tennessee, Knoxville

Doctoral Dissertations

Theses/Dissertations

2009

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Data Mining With Multivariate Kernel Regression Using Information Complexity And The Genetic Algorithm, Dennis Jack Beal Dec 2009

Data Mining With Multivariate Kernel Regression Using Information Complexity And The Genetic Algorithm, Dennis Jack Beal

Doctoral Dissertations

Kernel density estimation is a data smoothing technique that depends heavily on the bandwidth selection. The current literature has focused on optimal selectors for the univariate case that are primarily data driven. Plug-in and cross validation selectors have recently been extended to the general multivariate case.

This dissertation will introduce and develop new and novel techniques for data mining with multivariate kernel density regression using information complexity and the genetic algorithm as a heuristic optimizer to choose the optimal bandwidth and the best predictors in kernel regression models. Simulated and real data will be used to cross validate the optimal …