Baharith Lamya A, Al-Beladi Kholod M, Klakattawi Hadeel S
Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
Department of Statistics, Faculty Science, University of Jeddah, Jeddah 21959, Saudi Arabia.
Entropy (Basel). 2020 Apr 25;22(5):497. doi: 10.3390/e22050497.
This article introduces the odds exponential-Pareto IV distribution, which belongs to the odds family of distributions. We studied the statistical properties of this new distribution. The odds exponential-Pareto IV distribution provided decreasing, increasing, and upside-down hazard functions. We employed the maximum likelihood method to estimate the distribution parameters. The estimators performance was assessed by conducting simulation studies. A new log location-scale regression model based on the odds exponential-Pareto IV distribution was also introduced. Parameter estimates of the proposed model were obtained using both maximum likelihood and jackknife methods for right-censored data. Real data sets were analyzed under the odds exponential-Pareto IV distribution and log odds exponential-Pareto IV regression model to show their flexibility and potentiality.
本文介绍了属于分布比值族的比值指数 - 帕累托IV分布。我们研究了这种新分布的统计特性。比值指数 - 帕累托IV分布具有递减、递增和倒转的风险函数。我们采用最大似然法估计分布参数。通过进行模拟研究来评估估计量的性能。还引入了一种基于比值指数 - 帕累托IV分布的新的对数位置 - 尺度回归模型。对于右删失数据,使用最大似然法和刀切法获得了所提出模型的参数估计值。在比值指数 - 帕累托IV分布和对数比值指数 - 帕累托IV回归模型下对实际数据集进行了分析,以展示它们的灵活性和潜力。