The Marshall-Olkin Gumbel-Lomax distribution: properties and applications

We introduce a new flexible five parameter lifetime distribution called Marshall-Olkin Gumbel-Lomax distribution. Some characterizations of the distribution such as the quantile function, moments, Trimmed L-moments, moment generating function, and order statistics are derived. The unknown parameters...

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Detalles Bibliográficos
Autores principales: Nwezza, Elebe Emmanuel, Ugwuowo, Fidelis Ifeanyi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7075998/
https://www.ncbi.nlm.nih.gov/pubmed/32195394
http://dx.doi.org/10.1016/j.heliyon.2020.e03569
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author Nwezza, Elebe Emmanuel
Ugwuowo, Fidelis Ifeanyi
author_facet Nwezza, Elebe Emmanuel
Ugwuowo, Fidelis Ifeanyi
author_sort Nwezza, Elebe Emmanuel
collection PubMed
description We introduce a new flexible five parameter lifetime distribution called Marshall-Olkin Gumbel-Lomax distribution. Some characterizations of the distribution such as the quantile function, moments, Trimmed L-moments, moment generating function, and order statistics are derived. The unknown parameters of the new distribution are estimated using the maximum likelihood approach. And the performance of the MLEs is examined through simulation studies. The potentials of the new distribution are illustrated using two real life data sets.
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spelling pubmed-70759982020-03-19 The Marshall-Olkin Gumbel-Lomax distribution: properties and applications Nwezza, Elebe Emmanuel Ugwuowo, Fidelis Ifeanyi Heliyon Article We introduce a new flexible five parameter lifetime distribution called Marshall-Olkin Gumbel-Lomax distribution. Some characterizations of the distribution such as the quantile function, moments, Trimmed L-moments, moment generating function, and order statistics are derived. The unknown parameters of the new distribution are estimated using the maximum likelihood approach. And the performance of the MLEs is examined through simulation studies. The potentials of the new distribution are illustrated using two real life data sets. Elsevier 2020-03-13 /pmc/articles/PMC7075998/ /pubmed/32195394 http://dx.doi.org/10.1016/j.heliyon.2020.e03569 Text en © 2020 The Author(s) http://creativecommons.org/licenses/by-nc-nd/4.0/ This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Article
Nwezza, Elebe Emmanuel
Ugwuowo, Fidelis Ifeanyi
The Marshall-Olkin Gumbel-Lomax distribution: properties and applications
title The Marshall-Olkin Gumbel-Lomax distribution: properties and applications
title_full The Marshall-Olkin Gumbel-Lomax distribution: properties and applications
title_fullStr The Marshall-Olkin Gumbel-Lomax distribution: properties and applications
title_full_unstemmed The Marshall-Olkin Gumbel-Lomax distribution: properties and applications
title_short The Marshall-Olkin Gumbel-Lomax distribution: properties and applications
title_sort marshall-olkin gumbel-lomax distribution: properties and applications
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7075998/
https://www.ncbi.nlm.nih.gov/pubmed/32195394
http://dx.doi.org/10.1016/j.heliyon.2020.e03569
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