Algebraic Methods for the Estimation of Statistical Distributions
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202107155198
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202107155198
| Title: | Algebraic Methods for the Estimation of Statistical Distributions |
| Authors: | Grosdos Koutsoumpelias, Alexandros |
| Thesis advisor: | Prof. Tim Römer |
| Thesis referee: | Prof. Kaie Kubjas |
| Abstract: | This thesis deals with the problem of estimating statistical distributions from data. In the first part, the method of moments is used in combination with computational algebraic techniques in order to estimate parameters coming from local Dirac mixtures and their convolutions. The second part focuses on the nonparametric setting, in particular on combinatorial and algebraic aspects of the estimation of log-concave distributions. |
| URL: | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202107155198 |
| Subject Keywords: | algebraic statistics; moment methods; log-concave distributions |
| Issue Date: | 15-Jul-2021 |
| License name: | Attribution 3.0 Germany |
| License url: | http://creativecommons.org/licenses/by/3.0/de/ |
| Type of publication: | Dissertation oder Habilitation [doctoralThesis] |
| Appears in Collections: | FB06 - E-Dissertationen |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| thesis_grosdos_koutsoumpelias.pdf | Präsentationsformat | 6,45 MB | Adobe PDF | thesis_grosdos_koutsoumpelias.pdf  View/Open |
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