A new flexible extension of the Lindley distribution with applications

A new general family of distributions based on the Lindley model was introduced. Some properties of the proposed model, including moments, quantiles, and order statistics are presented. In addition, some reliability measures of this model were investigated. The parameters were estimated using the mo...

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Autores principales:	Adel Alrasheedi, Abdulrahman Abouammoh, Mohamed Kayid
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Mixture models Gamma distribution Failure rate Mean residual life Mean inactivity time Science (General) Q1-390
Acceso en línea:	https://doaj.org/article/693017cb0b8d4e9783d89801b01fc89f
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spelling	oai:doaj.org-article:693017cb0b8d4e9783d89801b01fc89f2021-11-28T04:28:45ZA new flexible extension of the Lindley distribution with applications1018-364710.1016/j.jksus.2021.101714https://doaj.org/article/693017cb0b8d4e9783d89801b01fc89f2022-01-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1018364721003761https://doaj.org/toc/1018-3647A new general family of distributions based on the Lindley model was introduced. Some properties of the proposed model, including moments, quantiles, and order statistics are presented. In addition, some reliability measures of this model were investigated. The parameters were estimated using the moments and the maximum likelihood methods for complete and right-censored data. Then, the behavior of the maximum likelihood estimator was investigated in a simulation study. Finally, the model was applied to the analysis of two data sets to demonstrate its usefulness.Adel AlrasheediAbdulrahman AbouammohMohamed KayidElsevierarticleMixture modelsGamma distributionFailure rateMean residual lifeMean inactivity timeScience (General)Q1-390ENJournal of King Saud University: Science, Vol 34, Iss 1, Pp 101714- (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mixture models Gamma distribution Failure rate Mean residual life Mean inactivity time Science (General) Q1-390
spellingShingle	Mixture models Gamma distribution Failure rate Mean residual life Mean inactivity time Science (General) Q1-390 Adel Alrasheedi Abdulrahman Abouammoh Mohamed Kayid A new flexible extension of the Lindley distribution with applications
description	A new general family of distributions based on the Lindley model was introduced. Some properties of the proposed model, including moments, quantiles, and order statistics are presented. In addition, some reliability measures of this model were investigated. The parameters were estimated using the moments and the maximum likelihood methods for complete and right-censored data. Then, the behavior of the maximum likelihood estimator was investigated in a simulation study. Finally, the model was applied to the analysis of two data sets to demonstrate its usefulness.
format	article
author	Adel Alrasheedi Abdulrahman Abouammoh Mohamed Kayid
author_facet	Adel Alrasheedi Abdulrahman Abouammoh Mohamed Kayid
author_sort	Adel Alrasheedi
title	A new flexible extension of the Lindley distribution with applications
title_short	A new flexible extension of the Lindley distribution with applications
title_full	A new flexible extension of the Lindley distribution with applications
title_fullStr	A new flexible extension of the Lindley distribution with applications
title_full_unstemmed	A new flexible extension of the Lindley distribution with applications
title_sort	new flexible extension of the lindley distribution with applications
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/693017cb0b8d4e9783d89801b01fc89f
work_keys_str_mv	AT adelalrasheedi anewflexibleextensionofthelindleydistributionwithapplications AT abdulrahmanabouammoh anewflexibleextensionofthelindleydistributionwithapplications AT mohamedkayid anewflexibleextensionofthelindleydistributionwithapplications AT adelalrasheedi newflexibleextensionofthelindleydistributionwithapplications AT abdulrahmanabouammoh newflexibleextensionofthelindleydistributionwithapplications AT mohamedkayid newflexibleextensionofthelindleydistributionwithapplications
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A new flexible extension of the Lindley distribution with applications

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