Algebraic Methods for the Estimation of Statistical Distributions

Algebraic Methods for the Estimation of Statistical Distributions

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 focus...

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Bibliographic Details
Main Author: Grosdos Koutsoumpelias, Alexandros
Other Authors: Prof. Tim Römer
Format: Doctoral Thesis
Language:English
Published: 2021
Subjects:
algebraic statistics
moment methods
log-concave distributions
ddc:510
Online Access:https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202107155198
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spelling ndltd-uni-osnabrueck.de-oai-repositorium.ub.uni-osnabrueck.de-urn-nbn-de-gbv-700-2021071551982021-07-16T05:15:20Z Algebraic Methods for the Estimation of Statistical Distributions Grosdos Koutsoumpelias, Alexandros Prof. Tim Römer Prof. Kaie Kubjas algebraic statistics moment methods log-concave distributions ddc:510 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. 2021-07-15 doc-type:doctoralThesis https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202107155198 eng Attribution 3.0 Germany http://creativecommons.org/licenses/by/3.0/de/ application/pdf application/zip
collection NDLTD
language English
format Doctoral Thesis
sources NDLTD
topic algebraic statistics
moment methods
log-concave distributions
ddc:510
spellingShingle algebraic statistics
moment methods
log-concave distributions
ddc:510
Grosdos Koutsoumpelias, Alexandros
Algebraic Methods for the Estimation of Statistical Distributions
description 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.
author2 Prof. Tim Römer
author_facet Prof. Tim Römer
Grosdos Koutsoumpelias, Alexandros
author Grosdos Koutsoumpelias, Alexandros
author_sort Grosdos Koutsoumpelias, Alexandros
title Algebraic Methods for the Estimation of Statistical Distributions
title_short Algebraic Methods for the Estimation of Statistical Distributions
title_full Algebraic Methods for the Estimation of Statistical Distributions
title_fullStr Algebraic Methods for the Estimation of Statistical Distributions
title_full_unstemmed Algebraic Methods for the Estimation of Statistical Distributions
title_sort algebraic methods for the estimation of statistical distributions
publishDate 2021
url https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202107155198
work_keys_str_mv AT grosdoskoutsoumpeliasalexandros algebraicmethodsfortheestimationofstatisticaldistributions
_version_ 1719417140031782912

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