We come up with a new class called log-logistic tan generalized family which provides sub-models with left skewed, symmetrical, right skewed, unimodal, bimodal and reversed-J densities, and increasing, decreasing, modified bathtub, bathtub, unimodal, reversed-J shaped, and J-shaped hazard rates. Some of its sub-models are provided along with some general structural properties. The parameter estimation has been conducted via maximum likelihood. Moreover, the estimators behavior are assessed using various simulation results. The capability of the log-logistic tan-Weibull model is proved using two real-life data sets. It provides higher quality fit than competing Weibull extensions, among others.

中文翻译：

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新的广义分布族：属性和应用

我们提出了一个称为log-logistic tan广义族的新类，该类为子模型提供左偏斜，对称，右偏斜，单峰，双峰和反J密度，以及增加，减少，修改的浴缸，浴缸，单峰，倒置的子模型。 -J形和J形危险率。它提供了一些子模型以及一些一般的结构特性。参数估计是通过最大似然进行的。此外，使用各种模拟结果评估估计器的行为。使用两个实际数据集证明了对数逻辑式tan-Weibull模型的功能。与其他竞争产品的Weibull扩展件相比，它提供更高的匹配质量。