Computational aspects of hierarchical mixture models for geological data

dc.contributor.advisorBekker, Andriette, 1958-
dc.contributor.coadvisorFerreira, Johan T.
dc.contributor.emailm.laidlaw17@gmail.comen_ZA
dc.contributor.postgraduateLaidlaw, Michaela
dc.date.accessioned2021-02-10T08:22:20Z
dc.date.available2021-02-10T08:22:20Z
dc.date.created2021-04
dc.date.issued2021
dc.descriptionDissertation (MSc (Mathematical Statistics))--University of Pretoria, 2021.en_ZA
dc.description.abstractBuidling off a foundation of knowledge from studies into modelling wind speed, models are fitted to multimodal datasets of geological nature. Mixtures of distributions are derived with parameter updates done via implementation of the EM algorithm. Among these mixtures is the Birnbaum-Saunders which is used as a component of hierarchical mixture of multiple distributions for the first time. The derivations of parameter updates in the EM algorithm setting is done and application to five real world datasets, one of which is large, implemented whilst keeping computation in mind. Additionally a simulation study is done for the mixtures of distributions with results indicating larger samples result in better fit whilst not compromising runtimes. Simulation studies for hierarcical mixtures to be considered in future work as obtaining convergence is challenging.en_ZA
dc.description.availabilityRestricteden_ZA
dc.description.degreeMSc (Mathematical Statistics)en_ZA
dc.description.departmentStatisticsen_ZA
dc.description.sponsorshipSRUG190308422768 grant No. 120839 and NRF GRANT : VULNERABLE DISCIPLINE: ACADEMIC STATISTICS (STATS).en_ZA
dc.identifier.citation*en_ZA
dc.identifier.otherA2021en_ZA
dc.identifier.urihttp://hdl.handle.net/2263/78378
dc.publisherUniversity of Pretoria
dc.rights© 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.
dc.subjectUCTDen_ZA
dc.titleComputational aspects of hierarchical mixture models for geological dataen_ZA
dc.typeDissertationen_ZA

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