Kailembo Benson Benedicto, Gadde Srinivasa Rao, Kirigiti Peter Josephat
Department of Mathematics and Statistics, University of Dodoma, Dodoma, Tanzania.
Heliyon. 2024 Mar 13;10(6):e27376. doi: 10.1016/j.heliyon.2024.e27376. eCollection 2024 Mar 30.
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.
本文通过增加灵活性来改进亲本分布的有效性，使其能够捕捉所提供的真实世界数据集的所有特征。这是通过使用T-X类分布来推广亲本分布来实现的。广义亲本分布简称为奇数洛马克斯对数逻辑分布（OLLLD）。明确表达了OLLLD的基本统计特性。使用最大似然估计方法来估计未识别的OLLLD参数。为了研究估计OLLLD参数所采用方法的拟合度，生成了数据并进行了调查。同样，通过将OLLLD拟合到乳腺癌的真实生存时间数据集来评估其能力。
