Abstract
This thesis is based on four papers on high-dimensional discriminant analysis. Throughout, the curse-of-dimensionality effect on the precision of the discrimination performance is emphasized. A growing dimension asymptotic approach is used for assessing this effect and the limiting error probability are taken as the performance criteria. A combined effect of a high dimensionality and feature informativeness on the discrimination performance is evaluated.
| Original language | English |
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| Qualification | Doctor |
| Awarding Institution |
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| Supervisors/Advisors |
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| Award date | 2001 Jun 6 |
| ISBN (Print) | 91-628-4775-9 |
| Publication status | Published - 2001 |
Bibliographical note
Defence detailsDate: 2001-06-06
Time: 10:15
Place: sal MH:C
External reviewer(s)
Name: Fang, K.T.
Title: Professor
Affiliation: [unknown]
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Pavlenko,~T. and von Rosen,~D.: Effect ofDimensionality on Discrimination. To appear in {it Statistics}, 2001. Pavlenko,~T.: Feature Informativeness inHigh-Dimensional Discriminant Analysis. Preliminary accepted by{it Communications in Statistics}, 2001.Pavlenko,~T.: On Assessing the FeatureInformativeness in High-Dimensional Discriminant Analysis.In {it Proceedings the Third Ukrainian-Scandinavian Conference inProbability Theory and Mathematical Statistics}, Kiev, Ukraine, June1999.Pavlenko,~T.: On Feature Selection,Curse-of-Dimensionality and Error Probability inDiscriminant Analysis. Submitted to {it Journal of StatisticalPlanning and Inference}.
Subject classification (UKÄ)
- Probability Theory and Statistics
Free keywords
- Statistics
- Matematik
- Mathematics
- feature selection
- Discriminant analysis
- feature informativeness
- growing dimension assymptotics
- operations research
- operationsanalys
- programmering
- aktuariematematik
- programming
- actuarial mathematics
- Statistik