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
Descripción
Sumario: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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