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Barycenters and ANOVA for Point Pattern Data

dc.contributor.advisorSchuhmacher, Dominic Prof. Dr.
dc.contributor.authorMüller, Raoul
dc.date.accessioned2022-05-10T13:54:30Z
dc.date.available2022-05-17T00:50:22Z
dc.date.issued2022-05-10
dc.identifier.urihttp://resolver.sub.uni-goettingen.de/purl?ediss-11858/14040
dc.identifier.urihttp://dx.doi.org/10.53846/goediss-9234
dc.language.isoengde
dc.subject.ddc510de
dc.titleBarycenters and ANOVA for Point Pattern Datade
dc.typedoctoralThesisde
dc.contributor.refereeSchuhmacher, Dominic Prof. Dr.
dc.date.examination2022-04-29de
dc.description.abstractengIn this thesis a new metric for point patterns is developed. A heuristic algorithm is presented, that computes barycenters with respect to the new metric. The barycenters are then used in ANOVA procedures, to assess the differences between groups of point patterns. Additionally, a new statistical test is introduced, that depends solely on the pairwise distances between the observations. The last topic in this thesis is the barycenter computation of a set of points in a Euclidean space. This problem arises as a subproblem of the barycenter calculation of point patterns and is moreover a generalization of the problem introduced by Pierre de Fermat.de
dc.contributor.coRefereeSchöbel, Anita Prof. Dr.
dc.subject.engpoint patternde
dc.subject.engANOVAde
dc.subject.engbarycenterde
dc.subject.engLevene's testde
dc.identifier.urnurn:nbn:de:gbv:7-ediss-14040-9
dc.affiliation.instituteFakultät für Mathematik und Informatikde
dc.subject.gokfullMathematics (PPN61756535X)de
dc.description.embargoed2022-05-17de
dc.identifier.ppn1801457549


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