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Quantile-based generalized logistic distribution

Dissertation (MSc)--University of Pretoria, 2014.

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Other Authors: Van Staden, Paul J.
Format: Thesis
Language:English
Published: University of Pretoria 2022
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access_status_str Open Access
author2 Van Staden, Paul J.
author_browse Van Staden, Paul J.
author_facet Van Staden, Paul J.
collection Thesis
dc_rights_str_mv © 2021 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.
description Dissertation (MSc)--University of Pretoria, 2014.
format Thesis
id oai:repository.up.ac.za:2263/83687
institution University of Pretoria (South Africa)
language English
last_indexed 2026-06-10T12:39:33.692Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository
publishDate 2022
publishDateRange 2022
publishDateSort 2022
publisher University of Pretoria
publisherStr University of Pretoria
record_format dspace
source_str UPSpace — University of Pretoria Institutional Repository
spelling oai:repository.up.ac.za:2263/83687 Quantile-based generalized logistic distribution Van Staden, Paul J. paul.vanstaden@up.ac.za Omachar, Brenda V. Generalized logistic distribution L-Moments Quantile function UCTD Dissertation (MSc)--University of Pretoria, 2014. This dissertation proposes the development of a new quantile-based generalized logistic distribution GLDQB, by using the quantile function of the generalized logistic distribution (GLO) as the basic building block. This four-parameter distribution is highly flexible with respect to distributional shape in that it explains extensive levels of skewness and kurtosis through the inclusion of two shape parameters. The parameter space as well as the distributional shape properties are discussed at length. The distribution is characterized through its -moments and an estimation algorithm is presented for estimating the distribution’s parameters with method of -moments estimation. This new distribution is then used to fit and approximate the probability of a data set. Statistics MSc Unrestricted 2022-02-09T06:51:37Z 2022-02-09T06:51:37Z 2014 2014 Dissertation * http://hdl.handle.net/2263/83687 en © 2021 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. application/pdf University of Pretoria
spellingShingle Generalized logistic distribution
L-Moments
Quantile function
UCTD
Quantile-based generalized logistic distribution
title Quantile-based generalized logistic distribution
title_full Quantile-based generalized logistic distribution
title_fullStr Quantile-based generalized logistic distribution
title_full_unstemmed Quantile-based generalized logistic distribution
title_short Quantile-based generalized logistic distribution
title_sort quantile based generalized logistic distribution
topic Generalized logistic distribution
L-Moments
Quantile function
UCTD
url http://hdl.handle.net/2263/83687