Power Xgamma distribution: properties, estimation, regression, simulation and applications

In this study, an extension of Xgamma distribution has been proposed and studied. The extension has an additional parameter accounting for the shape of the distribution. The properties of the proposed distribution were derived and discussed. The estimation of the parameters was done using the maximu...

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Main Authors: Okechukwu Obulezi, Precious Ibeakuzie, Ifeanyi Anabike, Chinyere Igbokwe, Harrison Etaga
Format: Article
Language:English
Published: REA Press 2024-03-01
Series:Computational Algorithms and Numerical Dimensions
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Online Access:https://www.journal-cand.com/article_200757_45f64c877c4b716638271793c1d9f6be.pdf
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author Okechukwu Obulezi
Precious Ibeakuzie
Ifeanyi Anabike
Chinyere Igbokwe
Harrison Etaga
author_facet Okechukwu Obulezi
Precious Ibeakuzie
Ifeanyi Anabike
Chinyere Igbokwe
Harrison Etaga
author_sort Okechukwu Obulezi
collection DOAJ
description In this study, an extension of Xgamma distribution has been proposed and studied. The extension has an additional parameter accounting for the shape of the distribution. The properties of the proposed distribution were derived and discussed. The estimation of the parameters was done using the maximum likelihood method. The study’s uniqueness is in developing a parametric regression model capable of competing with the classical regression model and also useful in the face of censored data. The applicability and flexibility were demonstrated using simulation studies and some lifetime data.
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institution Kabale University
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publishDate 2024-03-01
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series Computational Algorithms and Numerical Dimensions
spelling doaj-art-5b32ba1379fc41aabe5cf21f46bfaf682025-01-30T11:22:59ZengREA PressComputational Algorithms and Numerical Dimensions2980-76462980-93202024-03-0131587210.22105/cand.2024.469136.1098200757Power Xgamma distribution: properties, estimation, regression, simulation and applicationsOkechukwu Obulezi0Precious Ibeakuzie1Ifeanyi Anabike2Chinyere Igbokwe3Harrison Etaga4Department of Statistics, Faculty of Sciences, Nnamdi Azikiwe University, Awka, Nigeria.Department of Statistics, Faculty of Sciences, Nnamdi Azikiwe University, Awka, Nigeria.Department of Statistics, Faculty of Sciences, Nnamdi Azikiwe University, Awka, Nigeria.Department of Statistics, School of Science and Industrial Technology, Abia State Polytechnic, Aba, Nigeria.Department of Statistics, Faculty of Sciences, Nnamdi Azikiwe University, Awka, Nigeria.In this study, an extension of Xgamma distribution has been proposed and studied. The extension has an additional parameter accounting for the shape of the distribution. The properties of the proposed distribution were derived and discussed. The estimation of the parameters was done using the maximum likelihood method. The study’s uniqueness is in developing a parametric regression model capable of competing with the classical regression model and also useful in the face of censored data. The applicability and flexibility were demonstrated using simulation studies and some lifetime data.https://www.journal-cand.com/article_200757_45f64c877c4b716638271793c1d9f6be.pdfpower xgamma distributioncovid-19 patientscd4 counthiv/aidslog-transformationparametric regression
spellingShingle Okechukwu Obulezi
Precious Ibeakuzie
Ifeanyi Anabike
Chinyere Igbokwe
Harrison Etaga
Power Xgamma distribution: properties, estimation, regression, simulation and applications
Computational Algorithms and Numerical Dimensions
power xgamma distribution
covid-19 patients
cd4 count
hiv/aids
log-transformation
parametric regression
title Power Xgamma distribution: properties, estimation, regression, simulation and applications
title_full Power Xgamma distribution: properties, estimation, regression, simulation and applications
title_fullStr Power Xgamma distribution: properties, estimation, regression, simulation and applications
title_full_unstemmed Power Xgamma distribution: properties, estimation, regression, simulation and applications
title_short Power Xgamma distribution: properties, estimation, regression, simulation and applications
title_sort power xgamma distribution properties estimation regression simulation and applications
topic power xgamma distribution
covid-19 patients
cd4 count
hiv/aids
log-transformation
parametric regression
url https://www.journal-cand.com/article_200757_45f64c877c4b716638271793c1d9f6be.pdf
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AT chinyereigbokwe powerxgammadistributionpropertiesestimationregressionsimulationandapplications
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