A Weighted Cosine-G Family of Distributions: Properties and Illustration Using Time-to-Event Data

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dc.contributor.authorOdhah, Omalsad Hamood
dc.contributor.authorAlshanbari, Huda M.
dc.contributor.authorAhmad, Zubair
dc.contributor.authorRao, Gadde Srinivasa
dc.date.accessioned2024-08-19T07:04:03Z
dc.date.available2024-08-19T07:04:03Z
dc.date.issued2023
dc.descriptionFull-text. Available at: https://doi.org/10.3390/axioms12090849
dc.description.abstractModeling and predicting time-to-event phenomena in engineering, sports, and medical sectors are very crucial. Numerous models have been proposed for modeling such types of data sets. These models are introduced by adding one or more parameters to the traditional distributions. The addition of new parameters to the traditional distributions leads to serious issues, such as estimation consequences and re-parametrization problems. To avoid such problems, this paper introduces a new method for generating new probability distributions without any additional parameters. The proposed method may be called a weighted cosine-G family of distributions. Different distributional properties of the weighted cosine-G family, along with the maximum likelihood estimators, are obtained. A special model of the weighted cosine-G family, by utilizing the Weibull model, is considered. The special model of the weighted cosine-G family may be called a weighted cosine-Weibull distribution. A simulation study of the weighted cosine-Weibull model is conducted to evaluate the performances of its estimators. Finally, the applications of the weighted cosine-Weibull distribution are shown by considering three data sets related to the time-to-event phenomena.
dc.identifier.citationOdhah, O. H., Alshanbari, H. M., Ahmad, Z., & Rao, G. S. (2023). A weighted cosine-G family of distributions: Properties and illustration using time-to-event data. Axioms, 12(9), 849.
dc.identifier.doi10.3390/axioms12090849
dc.identifier.otherDOI: https://doi.org/10.3390/axioms12090849
dc.identifier.urihttps://repository.udom.ac.tz/handle/20.500.12661/4776
dc.language.isoen
dc.publisherMDPI AG
dc.relation.ispartofAxioms
dc.subjectcosine function
dc.subjecttrigonometric function
dc.subjectWeibull distribution
dc.subjectdistributional properties
dc.subjectsimulation
dc.subjecttime-to-event data
dc.subjectstatistical modeling
dc.titleA Weighted Cosine-G Family of Distributions: Properties and Illustration Using Time-to-Event Data
dc.typeArticle
oaire.citation.issue9
oaire.citation.volume12
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