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

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  • Emrah Altun
  • Hana N. Alqifari

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.

Suggested Citation

  • Emrah Altun & Hana N. Alqifari, 2025. "Generalization of Log-Xgamma Distribution: Applications and R Shiny Web-Tool," Journal of Mathematics, Hindawi, vol. 2025, pages 1-10, October.
    • Handle: RePEc:hin:jjmath:2556529
    DOI: 10.1155/jom/2556529
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