Faculty of Science, Department of Statistics, King Abdulaziz University, Jeddah, Saudi Arabia.
Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt.
PLoS One. 2023 Jul 18;18(7):e0288635. doi: 10.1371/journal.pone.0288635. eCollection 2023.
In probability theory and statistics, it is customary to employ unit distributions to explain practical variables having values between zero and one. This study suggests a brand-new distribution for modelling data on the unit interval called the unit-exponentiated Lomax (UEL) distribution. The statistical aspects of the UEL distribution are shown. The parameters corresponding to the proposed distribution are estimated using widely recognized estimation techniques, such as Bayesian, maximum product of spacing, and maximum likelihood. The effectiveness of the various estimators is assessed through a simulated scenario. Using mock jurors and food spending data sets, the UEL regression model is demonstrated as an alternative to unit-Weibull regression, beta regression, and the original linear regression models. Using Covid-19 data, the novel model outperforms certain other unit distributions according to different comparison criteria.
在概率论和统计学中，通常采用单位分布来解释取值在 0 到 1 之间的实际变量。本研究提出了一种用于在单位区间上建模数据的全新分布，称为单位指数化 Lomax（UEL）分布。展示了 UEL 分布的统计方面。使用广泛认可的估计技术，如贝叶斯、最大间距乘积和最大似然，对该分布的参数进行了估计。通过模拟场景评估了各种估计器的有效性。使用模拟陪审员和食品支出数据集，展示了 UEL 回归模型作为单位-Weibull 回归、β回归和原始线性回归模型的替代方法。使用 Covid-19 数据，根据不同的比较标准，该新模型在某些其他单位分布中表现更好。
