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A new statistical methodology using the sine function: Control chart with an application to survival times data

Statistical methodologies have a wider range of practical applications in every applied sector including education, reliability, management, hydrology, and healthcare sciences. Among the mentioned sectors, the implementation of statistical models in health sectors is very crucial. In the recent era,...

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Autores principales: Kamal, Mustafa, Rao, Gadde Srinivasa, Alsolmi, Meshayil M., Ahmad, Zubair, Aldallal, Ramy, Rahman, Md. Mahabubur
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10434955/
https://www.ncbi.nlm.nih.gov/pubmed/37590195
http://dx.doi.org/10.1371/journal.pone.0285914
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author Kamal, Mustafa
Rao, Gadde Srinivasa
Alsolmi, Meshayil M.
Ahmad, Zubair
Aldallal, Ramy
Rahman, Md. Mahabubur
author_facet Kamal, Mustafa
Rao, Gadde Srinivasa
Alsolmi, Meshayil M.
Ahmad, Zubair
Aldallal, Ramy
Rahman, Md. Mahabubur
author_sort Kamal, Mustafa
collection PubMed
description Statistical methodologies have a wider range of practical applications in every applied sector including education, reliability, management, hydrology, and healthcare sciences. Among the mentioned sectors, the implementation of statistical models in health sectors is very crucial. In the recent era, researchers have shown a deep interest in using the trigonometric function to develop new statistical methodologies. In this article, we propose a new statistical methodology using the trigonometric function, namely, a new trigonometric sine-G family of distribution. A subcase (special member) of the new trigonometric sine-G method called a new trigonometric sine-Weibull distribution is studied. The estimators of the new trigonometric sine-Weibull distribution are derived. A simulation study of the new trigonometric sine-Weibull distribution is also provided. The applicability of the new trigonometric sine-Weibull distribution is shown by considering a data set taken from the biomedical sector. Furthermore, we introduce an attribute control chart for the lifetime of an entity that follows the new trigonometric sine-Weibull distribution in terms of the number of failure items before a fixed time period is investigated. The performance of the suggested chart is investigated using the average run length. A comparative study and real example are given for the proposed control chart. Based on our study of the existing literature, we did not find any published work on the development of a control chart using new probability distributions that are developed based on the trigonometric function. This surprising gap is a key and interesting motivation of this research.
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spelling pubmed-104349552023-08-18 A new statistical methodology using the sine function: Control chart with an application to survival times data Kamal, Mustafa Rao, Gadde Srinivasa Alsolmi, Meshayil M. Ahmad, Zubair Aldallal, Ramy Rahman, Md. Mahabubur PLoS One Research Article Statistical methodologies have a wider range of practical applications in every applied sector including education, reliability, management, hydrology, and healthcare sciences. Among the mentioned sectors, the implementation of statistical models in health sectors is very crucial. In the recent era, researchers have shown a deep interest in using the trigonometric function to develop new statistical methodologies. In this article, we propose a new statistical methodology using the trigonometric function, namely, a new trigonometric sine-G family of distribution. A subcase (special member) of the new trigonometric sine-G method called a new trigonometric sine-Weibull distribution is studied. The estimators of the new trigonometric sine-Weibull distribution are derived. A simulation study of the new trigonometric sine-Weibull distribution is also provided. The applicability of the new trigonometric sine-Weibull distribution is shown by considering a data set taken from the biomedical sector. Furthermore, we introduce an attribute control chart for the lifetime of an entity that follows the new trigonometric sine-Weibull distribution in terms of the number of failure items before a fixed time period is investigated. The performance of the suggested chart is investigated using the average run length. A comparative study and real example are given for the proposed control chart. Based on our study of the existing literature, we did not find any published work on the development of a control chart using new probability distributions that are developed based on the trigonometric function. This surprising gap is a key and interesting motivation of this research. Public Library of Science 2023-08-17 /pmc/articles/PMC10434955/ /pubmed/37590195 http://dx.doi.org/10.1371/journal.pone.0285914 Text en © 2023 Kamal 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
Kamal, Mustafa
Rao, Gadde Srinivasa
Alsolmi, Meshayil M.
Ahmad, Zubair
Aldallal, Ramy
Rahman, Md. Mahabubur
A new statistical methodology using the sine function: Control chart with an application to survival times data
title A new statistical methodology using the sine function: Control chart with an application to survival times data
title_full A new statistical methodology using the sine function: Control chart with an application to survival times data
title_fullStr A new statistical methodology using the sine function: Control chart with an application to survival times data
title_full_unstemmed A new statistical methodology using the sine function: Control chart with an application to survival times data
title_short A new statistical methodology using the sine function: Control chart with an application to survival times data
title_sort new statistical methodology using the sine function: control chart with an application to survival times data
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10434955/
https://www.ncbi.nlm.nih.gov/pubmed/37590195
http://dx.doi.org/10.1371/journal.pone.0285914
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