  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.
