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Half logistic-truncated exponential distribution: Characteristics and applications
Gul and Mohsin 2021 developed a new modified form of renowned “Half logistic” distribution introduced by Balakrishnan (1991) and named it half logistic-truncated exponential distribution (HL-TEXPD). Some mathematical characteristics are studied, including hazard function, P(th) percentile, moment ge...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10645298/ https://www.ncbi.nlm.nih.gov/pubmed/37963157 http://dx.doi.org/10.1371/journal.pone.0285992 |
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author | Gul, Ahtasham Sandhu, Amjad Javaid Farooq, Muhammad Adil, Muhammad Hassan, Yasir Khan, Faridoon |
author_facet | Gul, Ahtasham Sandhu, Amjad Javaid Farooq, Muhammad Adil, Muhammad Hassan, Yasir Khan, Faridoon |
author_sort | Gul, Ahtasham |
collection | PubMed |
description | Gul and Mohsin 2021 developed a new modified form of renowned “Half logistic” distribution introduced by Balakrishnan (1991) and named it half logistic-truncated exponential distribution (HL-TEXPD). Some mathematical characteristics are studied, including hazard function, P(th) percentile, moment generating function and Shannon entropy. Simulation study is performed to examine the behaviour of parameter estimates. The proposed model is fitted on three real data sets to check its efficacy. Additionally, TTT (total time on test) plot is drawn to study the failure rate of the three data sets. The results verdict that HL-TEXPD can be efficiently utilized in the field of engineering and medical sciences based on the data sets under study contrary to the classical and baseline models. |
format | Online Article Text |
id | pubmed-10645298 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-106452982023-11-14 Half logistic-truncated exponential distribution: Characteristics and applications Gul, Ahtasham Sandhu, Amjad Javaid Farooq, Muhammad Adil, Muhammad Hassan, Yasir Khan, Faridoon PLoS One Research Article Gul and Mohsin 2021 developed a new modified form of renowned “Half logistic” distribution introduced by Balakrishnan (1991) and named it half logistic-truncated exponential distribution (HL-TEXPD). Some mathematical characteristics are studied, including hazard function, P(th) percentile, moment generating function and Shannon entropy. Simulation study is performed to examine the behaviour of parameter estimates. The proposed model is fitted on three real data sets to check its efficacy. Additionally, TTT (total time on test) plot is drawn to study the failure rate of the three data sets. The results verdict that HL-TEXPD can be efficiently utilized in the field of engineering and medical sciences based on the data sets under study contrary to the classical and baseline models. Public Library of Science 2023-11-14 /pmc/articles/PMC10645298/ /pubmed/37963157 http://dx.doi.org/10.1371/journal.pone.0285992 Text en © 2023 Gul et al https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. |
spellingShingle | Research Article Gul, Ahtasham Sandhu, Amjad Javaid Farooq, Muhammad Adil, Muhammad Hassan, Yasir Khan, Faridoon Half logistic-truncated exponential distribution: Characteristics and applications |
title | Half logistic-truncated exponential distribution: Characteristics and applications |
title_full | Half logistic-truncated exponential distribution: Characteristics and applications |
title_fullStr | Half logistic-truncated exponential distribution: Characteristics and applications |
title_full_unstemmed | Half logistic-truncated exponential distribution: Characteristics and applications |
title_short | Half logistic-truncated exponential distribution: Characteristics and applications |
title_sort | half logistic-truncated exponential distribution: characteristics and applications |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10645298/ https://www.ncbi.nlm.nih.gov/pubmed/37963157 http://dx.doi.org/10.1371/journal.pone.0285992 |
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