Application to Engineering and Medical Data Using Three-Parameter Exponential Model

This paper is devoted to a new lifetime distribution having three parameters by compound the exponential model and the transmuted Topp-Leone-G. The new proposed model is called the transmuted Topp-Leone exponential model; it is useful in lifetime data and reliability. The new model is very flexible;...

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Autores principales:	Waleed Almutiry, Amani Abdullah Alahmadi, Ibrahim Elbatal, Ibrahim E. Ragab, Oluwafemi Samson Balogun, Mohammed Elgarhy
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Telecommunication TK5101-6720
Acceso en línea:	https://doaj.org/article/9a75ae8f14e147e29d7ffd30b99b2d12
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spelling	oai:doaj.org-article:9a75ae8f14e147e29d7ffd30b99b2d122021-11-15T01:18:55ZApplication to Engineering and Medical Data Using Three-Parameter Exponential Model1875-905X10.1155/2021/9550156https://doaj.org/article/9a75ae8f14e147e29d7ffd30b99b2d122021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9550156https://doaj.org/toc/1875-905XThis paper is devoted to a new lifetime distribution having three parameters by compound the exponential model and the transmuted Topp-Leone-G. The new proposed model is called the transmuted Topp-Leone exponential model; it is useful in lifetime data and reliability. The new model is very flexible; its pdf can be right skewness, unimodal, and decreasing shaped, but the hrf of the suggested model can be unimodal, constant, and decreasing. Numerous statistical characteristics of the new model, notably the quantile function, moments, incomplete moments, conditional moments, mean residual life, mean inactivity time, and entropy are produced and investigated. The system’s parameters are estimated using the maximum likelihood approach. All estimators should be theoretically convergent, which is supported by a simulation analysis. Finally, two real-world datasets from the engineering and medical disciplines explore the new model’s relevance and adaptability in comparison to the alternatives models such as the beta exponential, the Marshall–Olkin generalized exponential, the exponentiated Weibull, the modified Weibull, and the transmuted Burr type X models.Waleed AlmutiryAmani Abdullah AlahmadiIbrahim ElbatalIbrahim E. RagabOluwafemi Samson BalogunMohammed ElgarhyHindawi LimitedarticleTelecommunicationTK5101-6720ENMobile Information Systems, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Telecommunication TK5101-6720
spellingShingle	Telecommunication TK5101-6720 Waleed Almutiry Amani Abdullah Alahmadi Ibrahim Elbatal Ibrahim E. Ragab Oluwafemi Samson Balogun Mohammed Elgarhy Application to Engineering and Medical Data Using Three-Parameter Exponential Model
description	This paper is devoted to a new lifetime distribution having three parameters by compound the exponential model and the transmuted Topp-Leone-G. The new proposed model is called the transmuted Topp-Leone exponential model; it is useful in lifetime data and reliability. The new model is very flexible; its pdf can be right skewness, unimodal, and decreasing shaped, but the hrf of the suggested model can be unimodal, constant, and decreasing. Numerous statistical characteristics of the new model, notably the quantile function, moments, incomplete moments, conditional moments, mean residual life, mean inactivity time, and entropy are produced and investigated. The system’s parameters are estimated using the maximum likelihood approach. All estimators should be theoretically convergent, which is supported by a simulation analysis. Finally, two real-world datasets from the engineering and medical disciplines explore the new model’s relevance and adaptability in comparison to the alternatives models such as the beta exponential, the Marshall–Olkin generalized exponential, the exponentiated Weibull, the modified Weibull, and the transmuted Burr type X models.
format	article
author	Waleed Almutiry Amani Abdullah Alahmadi Ibrahim Elbatal Ibrahim E. Ragab Oluwafemi Samson Balogun Mohammed Elgarhy
author_facet	Waleed Almutiry Amani Abdullah Alahmadi Ibrahim Elbatal Ibrahim E. Ragab Oluwafemi Samson Balogun Mohammed Elgarhy
author_sort	Waleed Almutiry
title	Application to Engineering and Medical Data Using Three-Parameter Exponential Model
title_short	Application to Engineering and Medical Data Using Three-Parameter Exponential Model
title_full	Application to Engineering and Medical Data Using Three-Parameter Exponential Model
title_fullStr	Application to Engineering and Medical Data Using Three-Parameter Exponential Model
title_full_unstemmed	Application to Engineering and Medical Data Using Three-Parameter Exponential Model
title_sort	application to engineering and medical data using three-parameter exponential model
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/9a75ae8f14e147e29d7ffd30b99b2d12
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_version_	1718428999015727104

Application to Engineering and Medical Data Using Three-Parameter Exponential Model

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