A New Generated Family of Distributions: Statistical Properties and Applications with Real-Life Data

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dc.contributor.authorOkutu, John Kwadey
dc.contributor.authorFrempong, Nana Kena
dc.contributor.authorAppiah, Simon K.
dc.contributor.authorAdebanji, Atinuke O.
dc.contributor.orcid0000-0002-7138-3526
dc.date.accessioned2024-07-26T09:09:09Z
dc.date.available2024-07-26T09:09:09Z
dc.date.issued2023
dc.descriptionThis article is published by Wiley / Hindawi 2023 and is also available at https://doi.org/10.1155/2023/9325679
dc.description.abstractSeveral standard distributions can be used to model lifetime data. Nevertheless, a number of these datasets from diverse fields such as engineering, finance, the environment, biological sciences, and others may not fit the standard distributions. As a result, there is a need to develop new distributions that incorporate a high degree of skewness and kurtosis while improving the degree of goodness-of-fit in empirical distributions. In this study, by applying the T-X method, we proposed a new flexible generated family, the Ramos-Louzada Generator (RL-G) with some relevant statistical properties such as quantile function, raw moments, incomplete moments, measures of inequality, entropy, mean and median deviations, and the reliability parameter. The RL-G family has the ability to model “right,” “left,” and “symmetric” data as well as different shapes of the hazard function. The maximum likelihood estimation (MLE) method has been used to estimate the parameters of the RL-G. The asymptotic performance of the MLE is assessed by simulation analysis. Finally, the flexibility of the RL-G family is demonstrated through the application of three real complete datasets from rainfall, breaking stress of carbon fibers, and survival times of hypertension patients, and it is evident that the RL-Weibull, which is a special case of the RL-G family, outperformed its submodels and other distributions
dc.description.sponsorshipKNUST
dc.identifier.citationHindawi Computational and Mathematical Methods Volume 2023, Article ID 9325679, 18 pages
dc.identifier.uri10.1155/2023/9325679
dc.identifier.urihttps://ir.knust.edu.gh/handle/123456789/15874
dc.language.isoen
dc.publisherWiley / Hindawi
dc.titleA New Generated Family of Distributions: Statistical Properties and Applications with Real-Life Data
dc.typeArticle
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