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Adaptive Density Estimation Based On The Mode Existence Test, Nizar Sami Jawhar
Adaptive Density Estimation Based On The Mode Existence Test, Nizar Sami Jawhar
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
The kernel persists as the most useful tool for density estimation. Although, in general, fixed kernel estimates have proven superior to results of available variable kernel estimators, Minnotte's mode tree and mode existence test give us newfound hope of producing a useful adaptive kernel estimator that triumphs when the fixed kernel methods fail. It improves on the fixed kernel in multimodal distributions where the size of modes is unequal, and where the degree of separation of modes varies. When these latter conditions exist, they present a serious challenge to the best of fixed kernel density estimators. Capitalizing on the work …