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The generalized Gompertz distribution

机译:广义Gompertz分布

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This paper deals with a new generalization of the exponential, Gompertz, and generalized exponential distributions. This distribution is called the generalized Gompertz distribution (GGD). The main advantage of this new distribution is that it has increasing or constant or decreasing or bathtub curve failure rate depending upon the shape parameter. This property makes GGD is very useful in survival analysis. Some statistical properties such as moments, mode, and quantiles are derived. The failure rate function is also derived. The maximum likelihood estimators of the parameters are derived using a simulations study. Real data set is used to determine whether the GGD is better than other well-known distributions in modeling lifetime data or not.
机译:本文介绍了指数,Gompertz和广义指数分布的新概括。这种分布称为广义Gompertz分布(GGD)。这种新分布的主要优点是,根据形状参数,其分布具有增加,恒定或减少或浴缸弯曲失败率的优点。此属性使得GGD在生存分析中非常有用。得出一些统计属性,例如矩,模和分位数。还得出故障率函数。使用模拟研究得出参数的最大似然估计值。真实数据集用于确定GGD在建模寿命数据方面是否优于其他众所周知的分布。

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