In a recent paper, Mazucheli et al. (2019) introduced the unit-Gompertz (UG) distribution and studied some of its properties. It is a continuous distribution with bounded support, and hence may be useful for modelling life-time phenomena. We present counter-examples to point out some subtle errors in their work, and subsequently correct them. We also look at some other interesting properties of this new distribution. Further, we also study some important reliability measures and consider some stochastic orderings associated with this new distribution.
翻译:在最近的一篇论文中,Mazucheli等人(2019年)介绍了单位-Gompertz(UG)的分布,并研究了其中的一些特性。这是一个连续的分布,得到有条不紊的支持,因此对模拟寿命现象可能有用。我们提出反实例,指出他们工作中的一些微妙错误,并随后加以纠正。我们还研究了这一新分布的其他一些有趣的特性。此外,我们还研究了一些重要的可靠性措施,并考虑了与这一新分布相关的一些随机订单。