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Truncated Inverted Kumaraswamy Generated Family of Distributions with Applications
In this article, we introduce a new general family of distributions derived to the truncated inverted Kumaraswamy distribution (on the unit interval), called the truncated inverted Kumaraswamy generated family. Among its qualities, it is characterized with tractable functions, has the ability to enh...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514432/ http://dx.doi.org/10.3390/e21111089 |
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author | Bantan, Rashad A. R. Jamal, Farrukh Chesneau, Christophe Elgarhy, Mohammed |
author_facet | Bantan, Rashad A. R. Jamal, Farrukh Chesneau, Christophe Elgarhy, Mohammed |
author_sort | Bantan, Rashad A. R. |
collection | PubMed |
description | In this article, we introduce a new general family of distributions derived to the truncated inverted Kumaraswamy distribution (on the unit interval), called the truncated inverted Kumaraswamy generated family. Among its qualities, it is characterized with tractable functions, has the ability to enhance the flexibility of a given distribution, and demonstrates nice statistical properties, including competitive fits for various kinds of data. A particular focus is given on a special member of the family defined with the exponential distribution as baseline, offering a new three-parameter lifetime distribution. This new distribution has the advantage of having a hazard rate function allowing monotonically increasing, decreasing, and upside-down bathtub shapes. In full generality, important properties of the new family are determined, with an emphasis on the entropy (Rényi and Shannon entropy). The estimation of the model parameters is established by the maximum likelihood method. A numerical simulation study illustrates the nice performance of the obtained estimates. Two practical data sets are then analyzed. We thus prove the potential of the new model in terms of fitting, with favorable results in comparison to other modern parametric models of the literature. |
format | Online Article Text |
id | pubmed-7514432 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75144322020-11-09 Truncated Inverted Kumaraswamy Generated Family of Distributions with Applications Bantan, Rashad A. R. Jamal, Farrukh Chesneau, Christophe Elgarhy, Mohammed Entropy (Basel) Article In this article, we introduce a new general family of distributions derived to the truncated inverted Kumaraswamy distribution (on the unit interval), called the truncated inverted Kumaraswamy generated family. Among its qualities, it is characterized with tractable functions, has the ability to enhance the flexibility of a given distribution, and demonstrates nice statistical properties, including competitive fits for various kinds of data. A particular focus is given on a special member of the family defined with the exponential distribution as baseline, offering a new three-parameter lifetime distribution. This new distribution has the advantage of having a hazard rate function allowing monotonically increasing, decreasing, and upside-down bathtub shapes. In full generality, important properties of the new family are determined, with an emphasis on the entropy (Rényi and Shannon entropy). The estimation of the model parameters is established by the maximum likelihood method. A numerical simulation study illustrates the nice performance of the obtained estimates. Two practical data sets are then analyzed. We thus prove the potential of the new model in terms of fitting, with favorable results in comparison to other modern parametric models of the literature. MDPI 2019-11-07 /pmc/articles/PMC7514432/ http://dx.doi.org/10.3390/e21111089 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Bantan, Rashad A. R. Jamal, Farrukh Chesneau, Christophe Elgarhy, Mohammed Truncated Inverted Kumaraswamy Generated Family of Distributions with Applications |
title | Truncated Inverted Kumaraswamy Generated Family of Distributions with Applications |
title_full | Truncated Inverted Kumaraswamy Generated Family of Distributions with Applications |
title_fullStr | Truncated Inverted Kumaraswamy Generated Family of Distributions with Applications |
title_full_unstemmed | Truncated Inverted Kumaraswamy Generated Family of Distributions with Applications |
title_short | Truncated Inverted Kumaraswamy Generated Family of Distributions with Applications |
title_sort | truncated inverted kumaraswamy generated family of distributions with applications |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514432/ http://dx.doi.org/10.3390/e21111089 |
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