Generalization of Log-Xgamma Distribution: Applications and R Shiny Web-Tool

Emrah Altun and Hana N. Alqifari

Journal of Mathematics, 2025, vol. 2025, 1-10

Abstract: The two-parameter xgamma distribution is employed to create a novel distribution that is suitable for bounded datasets within the interval (0, 1). A comprehensive analysis of the statistical properties of this newly proposed distribution is conducted. Various estimation procedures for the defined distribution are explored through different methodologies. A simulation study is performed to assess the efficacy of these estimation techniques. Three distinct datasets are examined, and the outcomes of the proposed distribution are compared with those of the Beta and Kumaraswamy distributions, along with other established unit distributions. Additionally, an R Shiny web tool has been developed to facilitate reproducibility of the results for users who do not utilize R.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2556529

DOI: 10.1155/jom/2556529

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