We introduce a four-parameter lifetime distribution called the odd log-logistic generalized Gompertz model to generalize the exponential, generalized exponential and generalized Gompertz distributions, among others. We obtain explicit expressions for the moments, moment-generating function, asymptotic distribution, quantile function, mean deviations and distribution of order statistics. The method of maximum likelihood estimation of parameters is compared by six different methods of estimations with simulation study. The applicability of the new model is illustrated by means of a real data set.

中文翻译：

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奇对数-Logistic广义Gompertz分布：性质，应用和不同的估计方法

我们引入了一种称为奇数对数逻辑广义Gompertz模型的四参数寿命分布，以广义化指数，广义指数和广义Gompertz分布。我们获得矩，矩生成函数，渐近分布，分位数函数，均值偏差和阶次统计量分布的显式表达式。通过仿真研究，通过六种不同的估计方法对参数的最大似然估计方法进行了比较。通过真实数据集说明了新模型的适用性。