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The statistical properties and applications of the alpha power Topp-Leone-G distribution

A two-parameter class of generator named the alpha power Topp-Leone-G (APTL-G) distribution for generating and engendering up to the minute family of continuous contemporary distributions is proposed. The propounded model has a bathtub and J-shapes hazard rate characteristics in data science. Thus,...

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Autores principales: Eghwerido, Joseph Thomas, Agu, Friday Ikechukwu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9234606/
https://www.ncbi.nlm.nih.gov/pubmed/35770153
http://dx.doi.org/10.1016/j.heliyon.2022.e09775
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author Eghwerido, Joseph Thomas
Agu, Friday Ikechukwu
author_facet Eghwerido, Joseph Thomas
Agu, Friday Ikechukwu
author_sort Eghwerido, Joseph Thomas
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description A two-parameter class of generator named the alpha power Topp-Leone-G (APTL-G) distribution for generating and engendering up to the minute family of continuous contemporary distributions is proposed. The propounded model has a bathtub and J-shapes hazard rate characteristics in data science. Thus, it has enhanced data analysis because of its productivity. A weighted function of the parent distribution was used to obtain the quantile function for the different sub-models considered. The record values of the differences of the [Formula: see text] lower and upper values were obtained in a closed-form to enable its applicability. The APTL-G model parameters values were captured and obtained in their simplified cases by the maximum likelihood approach. A simulation was also adopted to examine and investigate the performance, productivity, efficiency and tractability of the APTL-G sub-models. The outcomes of the real-life application and simulation study show that the performance of the goodness-of-fit of the APTL-G model is more flexible and tractable with real-life data sets concerning its goodness-of-fit.
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spelling pubmed-92346062022-06-28 The statistical properties and applications of the alpha power Topp-Leone-G distribution Eghwerido, Joseph Thomas Agu, Friday Ikechukwu Heliyon Research Article A two-parameter class of generator named the alpha power Topp-Leone-G (APTL-G) distribution for generating and engendering up to the minute family of continuous contemporary distributions is proposed. The propounded model has a bathtub and J-shapes hazard rate characteristics in data science. Thus, it has enhanced data analysis because of its productivity. A weighted function of the parent distribution was used to obtain the quantile function for the different sub-models considered. The record values of the differences of the [Formula: see text] lower and upper values were obtained in a closed-form to enable its applicability. The APTL-G model parameters values were captured and obtained in their simplified cases by the maximum likelihood approach. A simulation was also adopted to examine and investigate the performance, productivity, efficiency and tractability of the APTL-G sub-models. The outcomes of the real-life application and simulation study show that the performance of the goodness-of-fit of the APTL-G model is more flexible and tractable with real-life data sets concerning its goodness-of-fit. Elsevier 2022-06-20 /pmc/articles/PMC9234606/ /pubmed/35770153 http://dx.doi.org/10.1016/j.heliyon.2022.e09775 Text en © 2022 The Author(s) https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Eghwerido, Joseph Thomas
Agu, Friday Ikechukwu
The statistical properties and applications of the alpha power Topp-Leone-G distribution
title The statistical properties and applications of the alpha power Topp-Leone-G distribution
title_full The statistical properties and applications of the alpha power Topp-Leone-G distribution
title_fullStr The statistical properties and applications of the alpha power Topp-Leone-G distribution
title_full_unstemmed The statistical properties and applications of the alpha power Topp-Leone-G distribution
title_short The statistical properties and applications of the alpha power Topp-Leone-G distribution
title_sort statistical properties and applications of the alpha power topp-leone-g distribution
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9234606/
https://www.ncbi.nlm.nih.gov/pubmed/35770153
http://dx.doi.org/10.1016/j.heliyon.2022.e09775
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