In this article, a new three parameters lifetime model called the Topp-Leone Generalized Inverted Exponential (TLGIE) Distribution is introduced. Various properties of the model are derived, including moments, quantile function, survival function, hazard rate function, mean deviation and mode. The method of maximum likelihood is used to estimate the unknown parameters. The properties of the maximum likelihood estimators using Fisher information matrix are studied. Three real data sets are applied for illustrative purpose of this study.

中文翻译：

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具有真实数据应用的 Topp-Leone 广义倒指数分布

在本文中，介绍了一种新的三参数寿命模型，称为 Topp-Leone 广义倒指数 (TLGIE) 分布。推导出模型的各种属性，包括矩、分位数函数、生存函数、危险率函数、平均偏差和众数。最大似然法用于估计未知参数。研究了使用Fisher信息矩阵的最大似然估计量的性质。三个真实数据集用于说明本研究的目的。