Heliyon (Mar 2024)

Application of Odd Lomax log-logistic distribution to cancer data

  • Benson Benedicto Kailembo,
  • Srinivasa Rao Gadde,
  • Peter Josephat Kirigiti

Journal volume & issue
Vol. 10, no. 6
p. e27376

Abstract

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The effectiveness of the parental distribution is modified in this article by adding flexibility, allowing it to capture all characteristics of the provided real-world data sets. This is accomplished by using the T-X class of distributions to generalize the parental distribution. Odd Lomax log-logistic distribution or OLLLD in short, is the name of the generalized parental distribution. The fundamental statistical properties of OLLLD are explicitly expressed. The maximum likelihood estimation approach is used to estimate the unidentified OLLLD parameters. In order to investigate the fit of the approach employed in estimating the parameters of OLLLD, the data are generated and an investigation done. Again, the ability of OLLLD is evaluated by fitting it to the real survival time data set of breast cancer.

Keywords