Truncated Cauchy Power Odd Fréchet-G Family of Distributions: Theory and Applications

The truncated Cauchy power odd Fréchet-G family of distributions is presented in this article. This family’s unique models are launched. Statistical properties of the new family are proposed, such as density function expansion, moments, incomplete moments, mean deviation, Bonferroni and Lorenz curve...

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Auteurs principaux:	M. Shrahili, I. Elbatal
Format:	article
Langue:	EN
Publié:	Hindawi-Wiley 2021
Sujets:	Electronic computers. Computer science QA75.5-76.95
Accès en ligne:	https://doaj.org/article/28de1da324aa4a6aad6d26ed4c59a6bb
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spelling	oai:doaj.org-article:28de1da324aa4a6aad6d26ed4c59a6bb2021-11-08T02:36:44ZTruncated Cauchy Power Odd Fréchet-G Family of Distributions: Theory and Applications1099-052610.1155/2021/4256945https://doaj.org/article/28de1da324aa4a6aad6d26ed4c59a6bb2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/4256945https://doaj.org/toc/1099-0526The truncated Cauchy power odd Fréchet-G family of distributions is presented in this article. This family’s unique models are launched. Statistical properties of the new family are proposed, such as density function expansion, moments, incomplete moments, mean deviation, Bonferroni and Lorenz curves, and entropy. We investigate the maximum likelihood method for predicting model parameters of the new family. Two real-world datasets are used to show the importance and flexibility of the new family by using the truncated Cauchy power odd Fréchet exponential model as example of the family and compare it with some known models, and this model proves the importance and the flexibility for the new family.M. ShrahiliI. ElbatalHindawi-WileyarticleElectronic computers. Computer scienceQA75.5-76.95ENComplexity, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Electronic computers. Computer science QA75.5-76.95
spellingShingle	Electronic computers. Computer science QA75.5-76.95 M. Shrahili I. Elbatal Truncated Cauchy Power Odd Fréchet-G Family of Distributions: Theory and Applications
description	The truncated Cauchy power odd Fréchet-G family of distributions is presented in this article. This family’s unique models are launched. Statistical properties of the new family are proposed, such as density function expansion, moments, incomplete moments, mean deviation, Bonferroni and Lorenz curves, and entropy. We investigate the maximum likelihood method for predicting model parameters of the new family. Two real-world datasets are used to show the importance and flexibility of the new family by using the truncated Cauchy power odd Fréchet exponential model as example of the family and compare it with some known models, and this model proves the importance and the flexibility for the new family.
format	article
author	M. Shrahili I. Elbatal
author_facet	M. Shrahili I. Elbatal
author_sort	M. Shrahili
title	Truncated Cauchy Power Odd Fréchet-G Family of Distributions: Theory and Applications
title_short	Truncated Cauchy Power Odd Fréchet-G Family of Distributions: Theory and Applications
title_full	Truncated Cauchy Power Odd Fréchet-G Family of Distributions: Theory and Applications
title_fullStr	Truncated Cauchy Power Odd Fréchet-G Family of Distributions: Theory and Applications
title_full_unstemmed	Truncated Cauchy Power Odd Fréchet-G Family of Distributions: Theory and Applications
title_sort	truncated cauchy power odd fréchet-g family of distributions: theory and applications
publisher	Hindawi-Wiley
publishDate	2021
url	https://doaj.org/article/28de1da324aa4a6aad6d26ed4c59a6bb
work_keys_str_mv	AT mshrahili truncatedcauchypoweroddfrechetgfamilyofdistributionstheoryandapplications AT ielbatal truncatedcauchypoweroddfrechetgfamilyofdistributionstheoryandapplications
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Truncated Cauchy Power Odd Fréchet-G Family of Distributions: Theory and Applications

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