Algebraic Methods for the Estimation of Statistical Distributions

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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.
Subject Keywords: algebraic statistics; moment methods; log-concave distributions
Issue Date: 15-Jul-2021
License name: Attribution 3.0 Germany
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Type of publication: Dissertation oder Habilitation [doctoralThesis]
Appears in Collections:FB06 - E-Dissertationen

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