Odd Inverse Power Generalized Weibull Generated Family of Distributions: Properties and Applications

A novel family of produced distributions, odd inverse power generalized Weibull generated distributions, is introduced. Various mathematics structural properties for the odd inverse power generalized Weibull generated family are computed. Numerical analysis for mean, variance, skewness, and kurtosis...

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Autores principales:	A.S. Al-Moisheer, I. Elbatal, Waleed Almutiry, Mohammed Elgarhy
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/b8596c9b3cd7482797df250d21772dca
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spelling	oai:doaj.org-article:b8596c9b3cd7482797df250d21772dca2021-11-22T01:11:11ZOdd Inverse Power Generalized Weibull Generated Family of Distributions: Properties and Applications1563-514710.1155/2021/5082192https://doaj.org/article/b8596c9b3cd7482797df250d21772dca2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5082192https://doaj.org/toc/1563-5147A novel family of produced distributions, odd inverse power generalized Weibull generated distributions, is introduced. Various mathematics structural properties for the odd inverse power generalized Weibull generated family are computed. Numerical analysis for mean, variance, skewness, and kurtosis is performed. The new family contains many new models, and the densities of the new models can be right skewed and symmetric with “unimodal” and “bimodal” shapes. Also, its hazard rate function can be “constant,” “decreasing,” “increasing,” “increasing-constant,” “upside-down-constant,” and “decreasing-constant.” Different types of entropies are calculated. Some numerical values of various entropies for some selected values of parameters for the odd inverse power generalized Weibull exponential model are computed. The maximum likelihood estimation, least square estimation, and weighted least square estimation approaches are used to estimate the OIPGW-G parameters. Many bivariate and multivariate type models have been also derived. Two real-world data sets are used to demonstrate the new family’s use and versatility.A.S. Al-MoisheerI. ElbatalWaleed AlmutiryMohammed ElgarhyHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 A.S. Al-Moisheer I. Elbatal Waleed Almutiry Mohammed Elgarhy Odd Inverse Power Generalized Weibull Generated Family of Distributions: Properties and Applications
description	A novel family of produced distributions, odd inverse power generalized Weibull generated distributions, is introduced. Various mathematics structural properties for the odd inverse power generalized Weibull generated family are computed. Numerical analysis for mean, variance, skewness, and kurtosis is performed. The new family contains many new models, and the densities of the new models can be right skewed and symmetric with “unimodal” and “bimodal” shapes. Also, its hazard rate function can be “constant,” “decreasing,” “increasing,” “increasing-constant,” “upside-down-constant,” and “decreasing-constant.” Different types of entropies are calculated. Some numerical values of various entropies for some selected values of parameters for the odd inverse power generalized Weibull exponential model are computed. The maximum likelihood estimation, least square estimation, and weighted least square estimation approaches are used to estimate the OIPGW-G parameters. Many bivariate and multivariate type models have been also derived. Two real-world data sets are used to demonstrate the new family’s use and versatility.
format	article
author	A.S. Al-Moisheer I. Elbatal Waleed Almutiry Mohammed Elgarhy
author_facet	A.S. Al-Moisheer I. Elbatal Waleed Almutiry Mohammed Elgarhy
author_sort	A.S. Al-Moisheer
title	Odd Inverse Power Generalized Weibull Generated Family of Distributions: Properties and Applications
title_short	Odd Inverse Power Generalized Weibull Generated Family of Distributions: Properties and Applications
title_full	Odd Inverse Power Generalized Weibull Generated Family of Distributions: Properties and Applications
title_fullStr	Odd Inverse Power Generalized Weibull Generated Family of Distributions: Properties and Applications
title_full_unstemmed	Odd Inverse Power Generalized Weibull Generated Family of Distributions: Properties and Applications
title_sort	odd inverse power generalized weibull generated family of distributions: properties and applications
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/b8596c9b3cd7482797df250d21772dca
work_keys_str_mv	AT asalmoisheer oddinversepowergeneralizedweibullgeneratedfamilyofdistributionspropertiesandapplications AT ielbatal oddinversepowergeneralizedweibullgeneratedfamilyofdistributionspropertiesandapplications AT waleedalmutiry oddinversepowergeneralizedweibullgeneratedfamilyofdistributionspropertiesandapplications AT mohammedelgarhy oddinversepowergeneralizedweibullgeneratedfamilyofdistributionspropertiesandapplications
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Odd Inverse Power Generalized Weibull Generated Family of Distributions: Properties and Applications

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