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

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dc.contributor.authorKamal, Mustafa
dc.contributor.authorRao, Gadde Srinivasa
dc.contributor.authorAlsolmi, Meshayil M.
dc.contributor.authorAhmad, Zubair
dc.contributor.authorAldallal, Ramy
dc.contributor.authorMd. Rahman, Mahabubur
dc.contributor.editorWilliam Guo
dc.date.accessioned2024-08-19T06:48:48Z
dc.date.available2024-08-19T06:48:48Z
dc.date.issued2023
dc.descriptionFull-text. Available at: https://doi.org/10.1371/journal.pone.0285914
dc.description.abstractStatistical 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.
dc.identifier.citationKamal, M., Rao, G. S., Alsolmi, M. M., Ahmad, Z., Aldallal, R., & Rahman, M. M. (2023). A new statistical methodology using the sine function: Control chart with an application to survival times data. Plos one, 18(8), e0285914.
dc.identifier.doi10.1371/journal.pone.0285914
dc.identifier.otherDOI: https://doi.org/10.1371/journal.pone.0285914
dc.identifier.urihttps://repository.udom.ac.tz/handle/20.500.12661/4745
dc.language.isoen
dc.publisherPublic Library of Science (PLoS)
dc.relation.ispartofPLOS ONE
dc.subjectStatistical methodology
dc.subjectSine function
dc.subjectTrigonometric function
dc.subjectTrigonometric sine-G family of distribution
dc.subjectSine-G method
dc.titleA new statistical methodology using the sine function: Control chart with an application to survival times data
dc.typeArticle
oaire.citation.issue8
oaire.citation.volume18
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