The interest in the study and modeling of the strength within material science has continuously been
of interest within engineering and the built environment, with the Weibull distribution frequently being the model of choice in this area. Oftentimes there is a high cost involved with obtaining enough
samples to perform suitable inference, and a Bayesian approach has exhibited suitable inference
based on smaller samples for parameter- and confidence interval estimation. This study considers
alternative Weibull candidates from a general Weibull family for the data likelihood candidates, and
noninformative prior choices for parameters of these considered members are derived for their corresponding parameters. In addition to this, some previously unconsidered priors are introduced for
consideration with the standard Weibull model. An introductory simulation study is presented and
the effect of the alternative prior choices for the standard two-parameter Weibull model is investigated. Real data analysis rounds off the contributions of this study. / Mini Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2021. / DSTNRF-SAMRC South African Statistical Association / Statistics / MSc (Advanced Data Analytics) / Restricted
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:up/oai:repository.up.ac.za:2263/78407 |
| Date | January 2021 |
| Creators | Van Zyl, Christine Elizabeth |
| Contributors | Ferreira, Johan T., u13087747@tuks.co.za, Bekker, Andriette, 1958- |
| Publisher | University of Pretoria |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Mini Dissertation |
| 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. |
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