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Bivariate exponentiated discrete Weibull distribution: statistical properties, estimation, simulation and applications

机译:双变量指数离散威布尔分布:统计属性,估计,仿真和应用

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In this paper, a new bivariate discrete distribution is defined and studied in-detail, in the so-called the bivariate exponentiated discrete Weibull distribution. Several of its statistical properties including the joint cumulative distribution function, joint probability mass function, joint hazard rate function, joint moment generating function, mathematical expectation and reliability function for stress–strength model are derived. Its marginals are exponentiated discrete Weibull distributions. Hence, these marginals can be used to analyze the hazard rates in the discrete cases. The model parameters are estimated using the maximum likelihood method. Simulation study is performed to discuss the bias and mean square error of the estimators. Finally, two real data sets are analyzed to illustrate the flexibility of the proposed model.
机译:在本文中,在所谓的双变量指数离散的威布尔分布所谓的双重分离分布和研究了新的双变型离散分布。推导出几种统计特性,包括关节累积分布函数,联合概率质量功能,联合危险率函数,关节力矩产生功能,用于应力 - 强度模型的数学期望和可靠性函数。它的边缘是指数的离散威布尔分布。因此,这些边缘可以用于分析离散情况下的危险率。使用最大似然方法估计模型参数。进行仿真研究以讨论估计器的偏差和均方误差。最后,分析了两个实际数据集以说明所提出的模型的灵活性。

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