Inverse Lomax-Rayleigh distribution with application

In this paper, an extension of Rayleigh distribution called Inverse Lomax Rayleigh (ILR) is proposed by using the Inverse Lomax generator of [13]. Properties of ILR were derived. This includes the complete and incomplete moments, entropy, distribution of order statistics, and quantile function. A si...

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Autores principales:	Jamilu Yunusa Falgore, Muhammad Nazir Isah, Hussein Ahmad Abdulsalam
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Inverse Lomax G Moments Probability distribution T-X approach Inverse Lomax Rayleigh Science (General) Q1-390 Social sciences (General) H1-99
Acceso en línea:	https://doaj.org/article/d2a1ad89ef4b4ff4906792c2162cc368
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spelling	oai:doaj.org-article:d2a1ad89ef4b4ff4906792c2162cc3682021-12-02T05:02:57ZInverse Lomax-Rayleigh distribution with application2405-844010.1016/j.heliyon.2021.e08383https://doaj.org/article/d2a1ad89ef4b4ff4906792c2162cc3682021-11-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2405844021024865https://doaj.org/toc/2405-8440In this paper, an extension of Rayleigh distribution called Inverse Lomax Rayleigh (ILR) is proposed by using the Inverse Lomax generator of [13]. Properties of ILR were derived. This includes the complete and incomplete moments, entropy, distribution of order statistics, and quantile function. A simulation study was presented to explore the properties of the estimates. This shows that they are unbiased, consistent, and efficient. An application to fatigue data shows the flexibility of ILR distribution, as it outperforms all the comparators with minimum values of all the measures.Jamilu Yunusa FalgoreMuhammad Nazir IsahHussein Ahmad AbdulsalamElsevierarticleInverse Lomax GMomentsProbability distributionT-X approachInverse Lomax RayleighScience (General)Q1-390Social sciences (General)H1-99ENHeliyon, Vol 7, Iss 11, Pp e08383- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Inverse Lomax G Moments Probability distribution T-X approach Inverse Lomax Rayleigh Science (General) Q1-390 Social sciences (General) H1-99
spellingShingle	Inverse Lomax G Moments Probability distribution T-X approach Inverse Lomax Rayleigh Science (General) Q1-390 Social sciences (General) H1-99 Jamilu Yunusa Falgore Muhammad Nazir Isah Hussein Ahmad Abdulsalam Inverse Lomax-Rayleigh distribution with application
description	In this paper, an extension of Rayleigh distribution called Inverse Lomax Rayleigh (ILR) is proposed by using the Inverse Lomax generator of [13]. Properties of ILR were derived. This includes the complete and incomplete moments, entropy, distribution of order statistics, and quantile function. A simulation study was presented to explore the properties of the estimates. This shows that they are unbiased, consistent, and efficient. An application to fatigue data shows the flexibility of ILR distribution, as it outperforms all the comparators with minimum values of all the measures.
format	article
author	Jamilu Yunusa Falgore Muhammad Nazir Isah Hussein Ahmad Abdulsalam
author_facet	Jamilu Yunusa Falgore Muhammad Nazir Isah Hussein Ahmad Abdulsalam
author_sort	Jamilu Yunusa Falgore
title	Inverse Lomax-Rayleigh distribution with application
title_short	Inverse Lomax-Rayleigh distribution with application
title_full	Inverse Lomax-Rayleigh distribution with application
title_fullStr	Inverse Lomax-Rayleigh distribution with application
title_full_unstemmed	Inverse Lomax-Rayleigh distribution with application
title_sort	inverse lomax-rayleigh distribution with application
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/d2a1ad89ef4b4ff4906792c2162cc368
work_keys_str_mv	AT jamiluyunusafalgore inverselomaxrayleighdistributionwithapplication AT muhammadnazirisah inverselomaxrayleighdistributionwithapplication AT husseinahmadabdulsalam inverselomaxrayleighdistributionwithapplication
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Inverse Lomax-Rayleigh distribution with application

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