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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Autores principales: M. Shrahili, I. Elbatal
Formato: article
Lenguaje:EN
Publicado: Hindawi-Wiley 2021
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Acceso en línea: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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