The modified beta transmuted family of distributions with applications using the exponential distribution

In this work, a new family of distributions, which extends the Beta transmuted family, was obtained, called the Modified Beta Transmuted Family of distribution. This derived family has the Beta Family of Distribution and the Transmuted family of distribution as subfamilies. The Modified beta transmu...

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Autores principales:	Phillip Oluwatobi Awodutire, Oluwafemi Samson Balogun, Akintayo Kehinde Olapade, Ethelbert Chinaka Nduka
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/2152f02846f14aaba67d49c59dd41934
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spelling	oai:doaj.org-article:2152f02846f14aaba67d49c59dd419342021-11-25T06:19:33ZThe modified beta transmuted family of distributions with applications using the exponential distribution1932-6203https://doaj.org/article/2152f02846f14aaba67d49c59dd419342021-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC8601563/?tool=EBIhttps://doaj.org/toc/1932-6203In this work, a new family of distributions, which extends the Beta transmuted family, was obtained, called the Modified Beta Transmuted Family of distribution. This derived family has the Beta Family of Distribution and the Transmuted family of distribution as subfamilies. The Modified beta transmuted frechet, modified beta transmuted exponential, modified beta transmuted gompertz and modified beta transmuted lindley were obtained as special cases. The analytical expressions were studied for some statistical properties of the derived family of distribution which includes the moments, moments generating function and order statistics. The estimates of the parameters of the family were obtained using the maximum likelihood estimation method. Using the exponential distribution as a baseline for the family distribution, the resulting distribution (modified beta transmuted exponential distribution) was studied and its properties. The modified beta transmuted exponential distribution was applied to a real life time data to assess its flexibility in which the results shows a better fit when compared to some competitive models.Phillip Oluwatobi AwodutireOluwafemi Samson BalogunAkintayo Kehinde OlapadeEthelbert Chinaka NdukaPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Phillip Oluwatobi Awodutire Oluwafemi Samson Balogun Akintayo Kehinde Olapade Ethelbert Chinaka Nduka The modified beta transmuted family of distributions with applications using the exponential distribution
description	In this work, a new family of distributions, which extends the Beta transmuted family, was obtained, called the Modified Beta Transmuted Family of distribution. This derived family has the Beta Family of Distribution and the Transmuted family of distribution as subfamilies. The Modified beta transmuted frechet, modified beta transmuted exponential, modified beta transmuted gompertz and modified beta transmuted lindley were obtained as special cases. The analytical expressions were studied for some statistical properties of the derived family of distribution which includes the moments, moments generating function and order statistics. The estimates of the parameters of the family were obtained using the maximum likelihood estimation method. Using the exponential distribution as a baseline for the family distribution, the resulting distribution (modified beta transmuted exponential distribution) was studied and its properties. The modified beta transmuted exponential distribution was applied to a real life time data to assess its flexibility in which the results shows a better fit when compared to some competitive models.
format	article
author	Phillip Oluwatobi Awodutire Oluwafemi Samson Balogun Akintayo Kehinde Olapade Ethelbert Chinaka Nduka
author_facet	Phillip Oluwatobi Awodutire Oluwafemi Samson Balogun Akintayo Kehinde Olapade Ethelbert Chinaka Nduka
author_sort	Phillip Oluwatobi Awodutire
title	The modified beta transmuted family of distributions with applications using the exponential distribution
title_short	The modified beta transmuted family of distributions with applications using the exponential distribution
title_full	The modified beta transmuted family of distributions with applications using the exponential distribution
title_fullStr	The modified beta transmuted family of distributions with applications using the exponential distribution
title_full_unstemmed	The modified beta transmuted family of distributions with applications using the exponential distribution
title_sort	modified beta transmuted family of distributions with applications using the exponential distribution
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/2152f02846f14aaba67d49c59dd41934
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The modified beta transmuted family of distributions with applications using the exponential distribution

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