This study introduces a parsimonious and tractable generator for continuous distribution called the Teissier-G family of distributions for continuous random variables and examines the distributions belonging to this family as the sub-models. Some general statistical characteristics and sub-models of the new generator were examined and studied. Similarly, we examined the shapes of the sub-models probability density function (pdf) and hazard rate function were investigated. The parameter of the proposed model was obtained in a closed form by maximum likelihood. In addition to the numerical real life applications, Monte Carlo simulation was performed to examine the flexibility of the introduced models. The models provide good fits in all the cases. The results show great improvement compared to existing models.

中文翻译：

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Teissier-G 系列分布：特性和应用

本研究引入了一种用于连续分布的简约且易于处理的生成器，称为连续随机变量的 Teissier-G 分布族，并将属于该族的分布作为子模型进行了检查。检查和研究了新发电机的一些一般统计特性和子模型。同样，我们检查了子模型概率密度函数 (pdf) 的形状，并研究了风险率函数。所提出模型的参数是通过最大似然以封闭形式获得的。除了数值现实应用之外，还进行了蒙特卡罗模拟以检查引入模型的灵活性。这些模型适用于所有情况。与现有模型相比，结果显示有很大改进。